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Dr. Massimiliano Ferrara
1. Department of Law Economics and Human Sciences, Mediterranean University of Reggio Calabria, 89124 Reggio Calabria, Italy

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Research Keywords & Expertise

0 Social Responsibility
0 Supply Chain Management
0 variational methods
0 Critical point
0 Critical Point Theory

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variational methods
Critical point
Differential game
Kirchhoff Type
pursuers
Social Responsibility
Stackelberg game
Supply Chain Management
Critical Point Theory
Integral Constraints

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Journal article
Published: 22 May 2021 in Games
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This work aims to provide different perspectives on the relationships between cooperative game theory and the research field concerning climate change dynamics. New results are obtained in the framework of competitive bargaining solutions and related issues, moving from a cooperative approach to a competitive one. Furthermore, the dynamics of balanced and super-balanced games are exposed, with particular reference to coalitions. Some open problems are presented to aid future research in this area.

ACS Style

Tiziana Ciano; Massimiliano Ferrara; Mariangela Gangemi; Domenica Merenda; Bruno Pansera. Climate Change Sustainability: From Bargaining to Cooperative Balanced Approach. Games 2021, 12, 45 .

AMA Style

Tiziana Ciano, Massimiliano Ferrara, Mariangela Gangemi, Domenica Merenda, Bruno Pansera. Climate Change Sustainability: From Bargaining to Cooperative Balanced Approach. Games. 2021; 12 (2):45.

Chicago/Turabian Style

Tiziana Ciano; Massimiliano Ferrara; Mariangela Gangemi; Domenica Merenda; Bruno Pansera. 2021. "Climate Change Sustainability: From Bargaining to Cooperative Balanced Approach." Games 12, no. 2: 45.

Journal article
Published: 15 April 2021 in Scientific Reports
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COVID-19, a viral infection originated from Wuhan, China has spread across the world and it has currently affected over 115 million people. Although vaccination process has already started, reaching sufficient availability will take time. Considering the impact of this widespread disease, many research attempts have been made by the computer scientists to screen the COVID-19 from Chest X-Rays (CXRs) or Computed Tomography (CT) scans. To this end, we have proposedGraphCovidNet, a Graph Isomorphic Network (GIN) based model which is used to detect COVID-19 from CT-scans and CXRs of the affected patients. Our proposed model only accepts input data in the form of graph as we follow a GIN based architecture. Initially, pre-processing is performed to convert an image data into an undirected graph to consider only the edges instead of the whole image. Our proposedGraphCovidNetmodel is evaluated on four standard datasets: SARS-COV-2 Ct-Scan dataset, COVID-CT dataset, combination of covid-chestxray-dataset, Chest X-Ray Images (Pneumonia) dataset and CMSC-678-ML-Project dataset. The model shows an impressive accuracy of 99% for all the datasets and its prediction capability becomes 100% accurate for the binary classification problem of detecting COVID-19 scans. Source code of this work can be found atGitHub-link.

ACS Style

Pritam Saha; Debadyuti Mukherjee; Pawan Kumar Singh; Ali Ahmadian; Massimiliano Ferrara; Ram Sarkar. GraphCovidNet: A graph neural network based model for detecting COVID-19 from CT scans and X-rays of chest. Scientific Reports 2021, 11, 1 -16.

AMA Style

Pritam Saha, Debadyuti Mukherjee, Pawan Kumar Singh, Ali Ahmadian, Massimiliano Ferrara, Ram Sarkar. GraphCovidNet: A graph neural network based model for detecting COVID-19 from CT scans and X-rays of chest. Scientific Reports. 2021; 11 (1):1-16.

Chicago/Turabian Style

Pritam Saha; Debadyuti Mukherjee; Pawan Kumar Singh; Ali Ahmadian; Massimiliano Ferrara; Ram Sarkar. 2021. "GraphCovidNet: A graph neural network based model for detecting COVID-19 from CT scans and X-rays of chest." Scientific Reports 11, no. 1: 1-16.

Research article
Published: 11 April 2021 in Optimization and Engineering
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The Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is considered among the most frequently used techniques to deal with multi-criteria group decision-making (MCGDM) conflicts. In this article, we have presented an extended TOPSIS technique in the framework of interval type-2 trapezoidal Pythagorean fuzzy numbers (IT2TrPFN). We first projected a novel approach to evaluate the distance between them using ordered weighted averaging operator and $$(\alpha ,\beta )$$ ( α , β ) -cut. Subsequently, we widen the concept of TOPSIS method formed on the distance method with IT2TrPFNs and applied it on MCGDM dilemma by considering the attitudes and perspectives of the decision-makers. Lastly, an application of solar tracking system and numerous contrasts with the other existing techniques are presented to express the practicality and feasibility of our projected approach.

ACS Style

Rimsha Umer; Muhammad Touqeer; Abdullah Hisam Omar; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara. Selection of solar tracking system using extended TOPSIS technique with interval type-2 pythagorean fuzzy numbers. Optimization and Engineering 2021, 1 -27.

AMA Style

Rimsha Umer, Muhammad Touqeer, Abdullah Hisam Omar, Ali Ahmadian, Soheil Salahshour, Massimiliano Ferrara. Selection of solar tracking system using extended TOPSIS technique with interval type-2 pythagorean fuzzy numbers. Optimization and Engineering. 2021; ():1-27.

Chicago/Turabian Style

Rimsha Umer; Muhammad Touqeer; Abdullah Hisam Omar; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara. 2021. "Selection of solar tracking system using extended TOPSIS technique with interval type-2 pythagorean fuzzy numbers." Optimization and Engineering , no. : 1-27.

Research article
Published: 23 March 2021 in Optimization and Engineering
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Neutrosophic sets have been commenced as a generalization of crisp, fuzzy and intuitionistic fuzzy sets to depict vague, incompatible and deficient information about a real world dilemma. Interval-valued fuzzy sets have widely been acknowledged as more proficient in modeling suspicions and practical in assigning an interval of values where allotting an accurate and precise number to an expert’s outlook is too restrictive. They endow with a more appropriate background to characterize higher order of uncertainties and fuzziness of real world. To solve linear programming network problems with constraints concerning interval-valued neutrosophic numbers, a technique has been established by using score function and upper and lower membership functions of interval-valued neutrosophic numbers. An application of energy scheduling problem with constraints represented as interval-valued trapezoidal neutrosophic numbers has been discussed and solved via this technique. Also an additional example to exemplify the proposed method by implementing it on minimum spanning tree and shortest path problem is employed. Furthermore, a comparative examination was performed to validate the effectiveness and usefulness of the projected methodology.

ACS Style

Muhammad Touqeer; Rimsha Umer; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara. An optimal solution of energy scheduling problem based on chance-constraint programming model using Interval-valued neutrosophic constraints. Optimization and Engineering 2021, 1 -29.

AMA Style

Muhammad Touqeer, Rimsha Umer, Ali Ahmadian, Soheil Salahshour, Massimiliano Ferrara. An optimal solution of energy scheduling problem based on chance-constraint programming model using Interval-valued neutrosophic constraints. Optimization and Engineering. 2021; ():1-29.

Chicago/Turabian Style

Muhammad Touqeer; Rimsha Umer; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara. 2021. "An optimal solution of energy scheduling problem based on chance-constraint programming model using Interval-valued neutrosophic constraints." Optimization and Engineering , no. : 1-29.

Journal article
Published: 20 February 2021 in Sustainability
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It is widely recognized that the adoption of collaborative organization models in the agri-food sector can help farmers in rural areas to reach sustainable development goals. In any case, a holistic and coherent view of sustainability, organizational models and supporting technologies in the agri-food sector is still not present in the scientific literature. With this paper, we aim to fill this gap and to propose a framework that is useful to help scholars and practitioners in analyzing and designing sustainable Collaborative Networks in the agri-food sector

ACS Style

Salvatore Ammirato; Alberto Felicetti; Massimiliano Ferrara; Cinzia Raso; Antonio Violi. Collaborative Organization Models for Sustainable Development in the Agri-Food Sector. Sustainability 2021, 13, 2301 .

AMA Style

Salvatore Ammirato, Alberto Felicetti, Massimiliano Ferrara, Cinzia Raso, Antonio Violi. Collaborative Organization Models for Sustainable Development in the Agri-Food Sector. Sustainability. 2021; 13 (4):2301.

Chicago/Turabian Style

Salvatore Ammirato; Alberto Felicetti; Massimiliano Ferrara; Cinzia Raso; Antonio Violi. 2021. "Collaborative Organization Models for Sustainable Development in the Agri-Food Sector." Sustainability 13, no. 4: 2301.

Original paper
Published: 11 February 2021 in International Journal of Game Theory
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An evasion differential game of one evader and many pursuers is studied. The dynamics of state variables $$x_1,\ldots , x_m$$ x 1 , … , x m are described by linear differential equations. The control functions of players are subjected to integral constraints. If $$x_i(t) \ne 0$$ x i ( t ) ≠ 0 for all $$i \in \{1,\ldots ,m\}$$ i ∈ { 1 , … , m } and $$t \ge 0$$ t ≥ 0 , then we say that evasion is possible. It is assumed that the total energy of pursuers doesn’t exceed the energy of evader. We construct an evasion strategy and prove that for any positive integer m evasion is possible.

ACS Style

Gafurjan Ibragimov; Massimiliano Ferrara; MarkS Ruziboev; Bruno Antonio Pansera. Linear evasion differential game of one evader and several pursuers with integral constraints. International Journal of Game Theory 2021, 1 -22.

AMA Style

Gafurjan Ibragimov, Massimiliano Ferrara, MarkS Ruziboev, Bruno Antonio Pansera. Linear evasion differential game of one evader and several pursuers with integral constraints. International Journal of Game Theory. 2021; ():1-22.

Chicago/Turabian Style

Gafurjan Ibragimov; Massimiliano Ferrara; MarkS Ruziboev; Bruno Antonio Pansera. 2021. "Linear evasion differential game of one evader and several pursuers with integral constraints." International Journal of Game Theory , no. : 1-22.

Special issue article
Published: 02 February 2021 in Journal of Multi-Criteria Decision Analysis
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In this article, there is established a reverse logistics (RL) system to collect unwanted medications (UMs) in households. A reverse supply chain (RSC) is proposed in a decentralized state including manufacturer, and retailer involving a strategic consumer. The novelty of this article is that the model is investigated from the consumer's perspective, whereas in the previous studies, the proposed models were from other upstream members' perspectives such as manufacturer and retailer. Furthermore, inducement and advertising strategies are proposed for stimulating consumers to engage more in an RSC. To analyse the effect of these two strategies, the three‐person RSC game‐theoretical approach is used. A three‐person supply chain consists of a pharmaceutical manufacturer and a retailer who will interact with a strategic consumer in several non‐cooperative Stackelberg games. Three Stackelberg games are established and, each member takes a turn as a leadership role and the other two players assume the role of the follower.

ACS Style

Iside Rita Laganà; Somayeh Sharifi; Mehrnoosh Khademi; Mehdi Salimi; Massimiliano Ferrara. Analysis of some incentives on two‐echelon reverse supply chain with a strategic consumer: The case of unwanted medications in households. Journal of Multi-Criteria Decision Analysis 2021, 1 .

AMA Style

Iside Rita Laganà, Somayeh Sharifi, Mehrnoosh Khademi, Mehdi Salimi, Massimiliano Ferrara. Analysis of some incentives on two‐echelon reverse supply chain with a strategic consumer: The case of unwanted medications in households. Journal of Multi-Criteria Decision Analysis. 2021; ():1.

Chicago/Turabian Style

Iside Rita Laganà; Somayeh Sharifi; Mehrnoosh Khademi; Mehdi Salimi; Massimiliano Ferrara. 2021. "Analysis of some incentives on two‐echelon reverse supply chain with a strategic consumer: The case of unwanted medications in households." Journal of Multi-Criteria Decision Analysis , no. : 1.

Journal article
Published: 22 January 2021 in Chaos, Solitons & Fractals
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At the dawn of the year 2020, the world was hit by a significant pandemic COVID-19, that traumatized the entire planet. The infectious spread grew in leaps and bounds and forced the policymakers and governments to move towards lockdown. The lockdown further compelled people to stay under house arrest, which further resulted in an outbreak of emotions on social media platforms. Perceiving people's emotional state during these times becomes critically and strategically important for the government and the policymakers. In this regard, a novel emotion care scheme has been proposed in this paper to analyze multimodal textual data contained in real-time tweets related to COVID-19. Moreover, this paper studies 8-scale emotions (Anger, Anticipation, Disgust, Fear, Joy, Sadness, Surprise, and Trust) over multiple categories such as nature, lockdown, health, education, market, and politics. This is the first of its kind linguistic analysis on multiple modes pertaining to the pandemic to the best of our understanding. Taking India as a case study, we inferred from this textual analysis that ‘joy’ has been lesser towards everything (~9-15%) but nature (~17%) due to the apparent fact of lessened pollution. The education system entailed more trust (~29%) due to teachers' fraternity's consistent efforts. The health sector witnessed sadness (~16%) and fear (~18%) as the dominant emotions among the masses as human lives were at stake. Additionally, the state-wise and emotion-wise depiction is also provided. An interactive internet application has also been developed for the same.

ACS Style

Vedika Gupta; Nikita Jain; Piyush Katariya; Adarsh Kumar; Senthilkumar Mohan; Ali Ahmadian; Massimiliano Ferrara. An Emotion Care Model using Multimodal Textual Analysis on COVID-19. Chaos, Solitons & Fractals 2021, 144, 110708 -110708.

AMA Style

Vedika Gupta, Nikita Jain, Piyush Katariya, Adarsh Kumar, Senthilkumar Mohan, Ali Ahmadian, Massimiliano Ferrara. An Emotion Care Model using Multimodal Textual Analysis on COVID-19. Chaos, Solitons & Fractals. 2021; 144 ():110708-110708.

Chicago/Turabian Style

Vedika Gupta; Nikita Jain; Piyush Katariya; Adarsh Kumar; Senthilkumar Mohan; Ali Ahmadian; Massimiliano Ferrara. 2021. "An Emotion Care Model using Multimodal Textual Analysis on COVID-19." Chaos, Solitons & Fractals 144, no. : 110708-110708.

Review
Published: 12 January 2021 in IEEE Access
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Protein-Protein Interaction (PPI) is a network of protein interconnections which regulates most of the biological methods. A sound state of biota largely depends on synchronized interactions between protein molecules, and any aberrant interactions between protein molecules may lead to complications, including cervical leukemia, tuberculosis, and other neural disorders. In PPI investigation, a plethora of computational methods have been developed over the years to analyze and predict PPI conclusively; however, a majority of these techniques proved to be strenuous and expensive. Therefore, the need for faster, accurate, and critical analysis of PPI warrants the adoption of Machine Learning (ML) methods such as Support Vector Machine (SVM), Artificial Neural Network (ANN), and Random Forest Model (RFM). These classifiers are useful in PPI unfolding in terms of amino acid sequence data. The SVM classifier, in particular, is serviceable in solving a majority of complex classification problems producing robust results in a reasonable time frame. This publication summarizes some state-of-art SVM based PPI investigations and challenges incurred in the application of the SVM method.

ACS Style

Arijit Chakraborty; Sajal Mitra; Debashis De; Anindya Jyoti Pal; Ferial Ghaemi; Ali Ahmadian; Massimiliano Ferrara. Determining Protein–Protein Interaction Using Support Vector Machine: A Review. IEEE Access 2021, 9, 12473 -12490.

AMA Style

Arijit Chakraborty, Sajal Mitra, Debashis De, Anindya Jyoti Pal, Ferial Ghaemi, Ali Ahmadian, Massimiliano Ferrara. Determining Protein–Protein Interaction Using Support Vector Machine: A Review. IEEE Access. 2021; 9 (99):12473-12490.

Chicago/Turabian Style

Arijit Chakraborty; Sajal Mitra; Debashis De; Anindya Jyoti Pal; Ferial Ghaemi; Ali Ahmadian; Massimiliano Ferrara. 2021. "Determining Protein–Protein Interaction Using Support Vector Machine: A Review." IEEE Access 9, no. 99: 12473-12490.

Journal article
Published: 07 January 2021 in Results in Physics
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The outburst of the pandemic Coronavirus disease since December 2019, has severely impacted the health and economy worldwide. The epidemic is spreading fast through various means, as the virus is very infectious. Medical science is exploring a vaccine, only symptomatic treatment is possible at the moment. To contain the virus, it is required to categorize the risk factors and rank those in terms of contagion. This study aims to evaluate risk factors involved in the spread of COVID-19 and to rank them. In this work, we applied the methodology namely, Fuzzy Analytic Hierarchy Process (FAHP) to find out the weights and finally Hesitant Fuzzy Sets (HFS) with Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) is applied to identify the major risk factor. The results showed that “long duration of contact with the infected person” the most significant risk factor, followed by “spread through hospitals and clinic” and “verbal spread”. We showed the appliance of the Multi Criteria Decision Making (MCDM) tools in evaluation of the most significant risk factor. Moreover, we conducted sensitivity analysis.

ACS Style

Neha Ghorui; Arijit Ghosh; Sankar Prasad Mondal; Mohd Yazid Bajuri; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara. Identification of dominant risk factor involved in spread of COVID-19 using hesitant fuzzy MCDM methodology. Results in Physics 2021, 21, 103811 -103811.

AMA Style

Neha Ghorui, Arijit Ghosh, Sankar Prasad Mondal, Mohd Yazid Bajuri, Ali Ahmadian, Soheil Salahshour, Massimiliano Ferrara. Identification of dominant risk factor involved in spread of COVID-19 using hesitant fuzzy MCDM methodology. Results in Physics. 2021; 21 ():103811-103811.

Chicago/Turabian Style

Neha Ghorui; Arijit Ghosh; Sankar Prasad Mondal; Mohd Yazid Bajuri; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara. 2021. "Identification of dominant risk factor involved in spread of COVID-19 using hesitant fuzzy MCDM methodology." Results in Physics 21, no. : 103811-103811.

Journal article
Published: 06 January 2021 in Results in Physics
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This article focus the elimination and control of the infection caused by COVID-19. Mathematical model of the disease is formulated. With help of sensitivity analysis of the reproduction number the most sensitive parameters regarding transmission of infection are found. Consequently strategies for the control of infection are proposed. Threshold condition for global stability of the disease free state is investigated. Finally, using Matlab numerical simulations are produced for validation of theocratical results.

ACS Style

Muhammad Zamir; Kamal Shah; Fawad Nadeem; Mohd Yazid Bajuri; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara. Threshold conditions for global stability of disease free state of COVID-19. Results in Physics 2021, 21, 103784 .

AMA Style

Muhammad Zamir, Kamal Shah, Fawad Nadeem, Mohd Yazid Bajuri, Ali Ahmadian, Soheil Salahshour, Massimiliano Ferrara. Threshold conditions for global stability of disease free state of COVID-19. Results in Physics. 2021; 21 ():103784.

Chicago/Turabian Style

Muhammad Zamir; Kamal Shah; Fawad Nadeem; Mohd Yazid Bajuri; Ali Ahmadian; Soheil Salahshour; Massimiliano Ferrara. 2021. "Threshold conditions for global stability of disease free state of COVID-19." Results in Physics 21, no. : 103784.

Journal article
Published: 01 January 2021 in Discrete & Continuous Dynamical Systems - S
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ACS Style

Muhammad Arfan; Kamal Shah; Aman Ullah; Soheil Salahshour; Ali Ahmadian; Massimiliano Ferrara. A novel semi-analytical method for solutions of two dimensional fuzzy fractional wave equation using natural transform. Discrete & Continuous Dynamical Systems - S 2021, 1 .

AMA Style

Muhammad Arfan, Kamal Shah, Aman Ullah, Soheil Salahshour, Ali Ahmadian, Massimiliano Ferrara. A novel semi-analytical method for solutions of two dimensional fuzzy fractional wave equation using natural transform. Discrete & Continuous Dynamical Systems - S. 2021; ():1.

Chicago/Turabian Style

Muhammad Arfan; Kamal Shah; Aman Ullah; Soheil Salahshour; Ali Ahmadian; Massimiliano Ferrara. 2021. "A novel semi-analytical method for solutions of two dimensional fuzzy fractional wave equation using natural transform." Discrete & Continuous Dynamical Systems - S , no. : 1.

Journal article
Published: 29 September 2020 in Communications in Nonlinear Science and Numerical Simulation
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In this paper, we intend to obtain some numerical approximations of inverse problem by means of fractional differential equations under interval uncertainty. For this purpose, using perturbed Collage theorem, we achieve the approximations with the help of minimization procedure. We discuss the Picard operator and the existence with the uniqueness of solutions of interval fractional differential equations (IFDEs) using contraction mappings. Some modifications of existing results on the approximations of interval-valued functions using Schauder basis in the metric space are derived. Then, the fractional version of approximation in the Banach space is obtained to compute the numerical solution. In fact, we also employ Collage-based method for solving IFDEs with inverse problem. Finally, illustrative examples are solved in details to show that the results are in good agreement with the exact solutions for different values of fractional order derivative under generalized differentiability.

ACS Style

Soheil Salahshour; Ali Ahmadian; Bruno A. Pansera; Massimiliano Ferrara. Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem. Communications in Nonlinear Science and Numerical Simulation 2020, 94, 105553 .

AMA Style

Soheil Salahshour, Ali Ahmadian, Bruno A. Pansera, Massimiliano Ferrara. Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem. Communications in Nonlinear Science and Numerical Simulation. 2020; 94 ():105553.

Chicago/Turabian Style

Soheil Salahshour; Ali Ahmadian; Bruno A. Pansera; Massimiliano Ferrara. 2020. "Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem." Communications in Nonlinear Science and Numerical Simulation 94, no. : 105553.

Journal article
Published: 30 June 2020 in Mathematics
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In the paper, we analyze the necessary efficiency conditions for scalar, vectorial and vector fractional variational problems using curvilinear integrals as objectives and we establish sufficient conditions of efficiency to the above variational problems. The efficiency sufficient conditions use of notions of the geodesic invex set and of (strictly, monotonic) ( ρ , b)-geodesic quasiinvex functions.

ACS Style

Tiziana Ciano; Massimiliano Ferrara; Ştefan Mititelu; Bruno Antonio Pansera. Efficiency for Vector Variational Quotient Problems with Curvilinear Integrals on Riemannian Manifolds via Geodesic Quasiinvexity. Mathematics 2020, 8, 1054 .

AMA Style

Tiziana Ciano, Massimiliano Ferrara, Ştefan Mititelu, Bruno Antonio Pansera. Efficiency for Vector Variational Quotient Problems with Curvilinear Integrals on Riemannian Manifolds via Geodesic Quasiinvexity. Mathematics. 2020; 8 (7):1054.

Chicago/Turabian Style

Tiziana Ciano; Massimiliano Ferrara; Ştefan Mititelu; Bruno Antonio Pansera. 2020. "Efficiency for Vector Variational Quotient Problems with Curvilinear Integrals on Riemannian Manifolds via Geodesic Quasiinvexity." Mathematics 8, no. 7: 1054.

Journal article
Published: 01 June 2020 in AIP Advances
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ACS Style

Q. Rubbab; Y. Mahsud; S. Irshad; M. A. Imran; A. Ahmadian; S. Salahshour; M. Ferrara. Numerical simulations of unsteady flows in a rotating channel using a novel eigenfunction expansion method. AIP Advances 2020, 10, 065035 .

AMA Style

Q. Rubbab, Y. Mahsud, S. Irshad, M. A. Imran, A. Ahmadian, S. Salahshour, M. Ferrara. Numerical simulations of unsteady flows in a rotating channel using a novel eigenfunction expansion method. AIP Advances. 2020; 10 (6):065035.

Chicago/Turabian Style

Q. Rubbab; Y. Mahsud; S. Irshad; M. A. Imran; A. Ahmadian; S. Salahshour; M. Ferrara. 2020. "Numerical simulations of unsteady flows in a rotating channel using a novel eigenfunction expansion method." AIP Advances 10, no. 6: 065035.

Chapter
Published: 21 May 2020 in Developments in Advanced Control and Intelligent Automation for Complex Systems
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Hybrid systems evolve in continuous time, like differential systems, but undergoing a fundamental change in their governing equations at a sequence of discrete times. When a continuous time dynamics of a hybrid system is given by a Fuzzy Differential Equations (FDEs), the system is called a hybrid fuzzy differential system. This structural and mathematical framework in our opinion is very close to the context of Artificial Intelligence and its applications in various fields.

ACS Style

Massimiliano Ferrara; Iside Rita Laganà; Domenica Stefania Merenda. Hybrid Fuzzy Differential System and Artificial Neural Networks: Some Issues in Economics. Developments in Advanced Control and Intelligent Automation for Complex Systems 2020, 15 -22.

AMA Style

Massimiliano Ferrara, Iside Rita Laganà, Domenica Stefania Merenda. Hybrid Fuzzy Differential System and Artificial Neural Networks: Some Issues in Economics. Developments in Advanced Control and Intelligent Automation for Complex Systems. 2020; ():15-22.

Chicago/Turabian Style

Massimiliano Ferrara; Iside Rita Laganà; Domenica Stefania Merenda. 2020. "Hybrid Fuzzy Differential System and Artificial Neural Networks: Some Issues in Economics." Developments in Advanced Control and Intelligent Automation for Complex Systems , no. : 15-22.

Foundations
Published: 10 March 2020 in Soft Computing
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In this paper, a probabilistic metric on the set of all auto-homeomorphisms of a group is presented. We show that the defined probabilistic group metric is right invariant and it implies a probabilistic group norm. In addition, by the probabilistic norm admissibility condition, we study the uniform continuity of homeomorphisms, and finally, we prove some theorems about topologically equivalent probabilistic norms.

ACS Style

Alireza Pourmoslemi; Massimiliano Ferrara; Bruno Antonio Pansera; Mehdi Salimi. Probabilistic norms on the homeomorphisms of a group. Soft Computing 2020, 24, 7021 -7028.

AMA Style

Alireza Pourmoslemi, Massimiliano Ferrara, Bruno Antonio Pansera, Mehdi Salimi. Probabilistic norms on the homeomorphisms of a group. Soft Computing. 2020; 24 (10):7021-7028.

Chicago/Turabian Style

Alireza Pourmoslemi; Massimiliano Ferrara; Bruno Antonio Pansera; Mehdi Salimi. 2020. "Probabilistic norms on the homeomorphisms of a group." Soft Computing 24, no. 10: 7021-7028.

Journal article
Published: 07 February 2020 in Symmetry
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The aim of this study is to analyse a discrete-time two-stage game with R&D competition by considering a continuous-time set-up with fixed delays. The model is represented in the form of delay differential equations. The stability of all the equilibrium points is studied. It is found that the model exhibits very complex dynamical behaviours, and its Nash equilibrium is destabilised via Hopf bifurcations.

ACS Style

B. A. Pansera; L. Guerrini; M. Ferrara; T. Ciano. Bifurcation Analysis of a Duopoly Game with R&D Spillover, Price Competition and Time Delays. Symmetry 2020, 12, 257 .

AMA Style

B. A. Pansera, L. Guerrini, M. Ferrara, T. Ciano. Bifurcation Analysis of a Duopoly Game with R&D Spillover, Price Competition and Time Delays. Symmetry. 2020; 12 (2):257.

Chicago/Turabian Style

B. A. Pansera; L. Guerrini; M. Ferrara; T. Ciano. 2020. "Bifurcation Analysis of a Duopoly Game with R&D Spillover, Price Competition and Time Delays." Symmetry 12, no. 2: 257.

Journal article
Published: 08 November 2019 in Mathematics
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Here, we suggest a high-order optimal variant/modification of Schröder’s method for obtaining the multiple zeros of nonlinear uni-variate functions. Based on quadratically convergent Schröder’s method, we derive the new family of fourth -order multi-point methods having optimal convergence order. Additionally, we discuss the theoretical convergence order and the properties of the new scheme. The main finding of the present work is that one can develop several new and some classical existing methods by adjusting one of the parameters. Numerical results are given to illustrate the execution of our multi-point methods. We observed that our schemes are equally competent to other existing methods.

ACS Style

RamanDeep Behl; Arwa Jeza Alsolami; Bruno Antonio Pansera; Waleed M. Al-Hamdan; Mehdi Salimi; Massimiliano Ferrara. A New Optimal Family of Schröder’s Method for Multiple Zeros. Mathematics 2019, 7, 1076 .

AMA Style

RamanDeep Behl, Arwa Jeza Alsolami, Bruno Antonio Pansera, Waleed M. Al-Hamdan, Mehdi Salimi, Massimiliano Ferrara. A New Optimal Family of Schröder’s Method for Multiple Zeros. Mathematics. 2019; 7 (11):1076.

Chicago/Turabian Style

RamanDeep Behl; Arwa Jeza Alsolami; Bruno Antonio Pansera; Waleed M. Al-Hamdan; Mehdi Salimi; Massimiliano Ferrara. 2019. "A New Optimal Family of Schröder’s Method for Multiple Zeros." Mathematics 7, no. 11: 1076.

Journal article
Published: 01 August 2019 in Chaos: An Interdisciplinary Journal of Nonlinear Science
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Realizing the behavior of the solution in the asymptotic situations is essential for repetitive applications in the control theory and modeling of the real-world systems. This study discusses a robust and definitive attitude to find the interval approximate asymptotic solutions of fractional differential equations (FDEs) with the Atangana-Baleanu (A-B) derivative. In fact, such critical tasks require to observe precisely the behavior of the noninterval case at first. In this regard, we initially shed light on the noninterval cases and analyze the behavior of the approximate asymptotic solutions, and then, we introduce the A-B derivative for FDEs under interval arithmetic and develop a new and reliable approximation approach for fractional interval differential equations with the interval A-B derivative to get the interval approximate asymptotic solutions. We exploit Laplace transforms to get the asymptotic approximate solution based on the interval asymptotic A-B fractional derivatives under interval arithmetic. The techniques developed here provide essential tools for finding interval approximation asymptotic solutions under interval fractional derivatives with nonsingular Mittag-Leffler kernels. Two cases arising in the real-world systems are modeled under interval notion and given to interpret the behavior of the interval approximate asymptotic solutions under different conditions as well as to validate this new approach. This study highlights the importance of the asymptotic solutions for FDEs regardless of interval or noninterval parameters.

ACS Style

Soheil Salahshour; Ali Ahmadian; M. Salimi; M. Ferrara; D. Baleanu. Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative. Chaos: An Interdisciplinary Journal of Nonlinear Science 2019, 29, 083110 .

AMA Style

Soheil Salahshour, Ali Ahmadian, M. Salimi, M. Ferrara, D. Baleanu. Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative. Chaos: An Interdisciplinary Journal of Nonlinear Science. 2019; 29 (8):083110.

Chicago/Turabian Style

Soheil Salahshour; Ali Ahmadian; M. Salimi; M. Ferrara; D. Baleanu. 2019. "Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative." Chaos: An Interdisciplinary Journal of Nonlinear Science 29, no. 8: 083110.