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Mohamed Abdalla
Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia

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Research article
Published: 22 June 2021 in Journal of Function Spaces
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In this paper, we prove some common fixed point theorems for rational contraction mapping on complex partial b -metric space. The presented results generalize and expand some of the literature’s well-known results. We also explore some of the applications of our key results.

ACS Style

Arul Joseph Gnanaprakasam; Salah Mahmoud Boulaaras; Gunaseelan Mani; Mohamed Abdalla; Asma Alharbi. Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b -Metric Spaces. Journal of Function Spaces 2021, 2021, 1 -8.

AMA Style

Arul Joseph Gnanaprakasam, Salah Mahmoud Boulaaras, Gunaseelan Mani, Mohamed Abdalla, Asma Alharbi. Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b -Metric Spaces. Journal of Function Spaces. 2021; 2021 ():1-8.

Chicago/Turabian Style

Arul Joseph Gnanaprakasam; Salah Mahmoud Boulaaras; Gunaseelan Mani; Mohamed Abdalla; Asma Alharbi. 2021. "Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b -Metric Spaces." Journal of Function Spaces 2021, no. : 1-8.

Journal article
Published: 14 June 2021 in Sensors
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A k-means algorithm is a method for clustering that has already gained a wide range of acceptability. However, its performance extremely depends on the opening cluster centers. Besides, due to weak exploration capability, it is easily stuck at local optima. Recently, a new metaheuristic called Moth Flame Optimizer (MFO) is proposed to handle complex problems. MFO simulates the moths intelligence, known as transverse orientation, used to navigate in nature. In various research work, the performance of MFO is found quite satisfactory. This paper suggests a novel heuristic approach based on the MFO to solve data clustering problems. To validate the competitiveness of the proposed approach, various experiments have been conducted using Shape and UCI benchmark datasets. The proposed approach is compared with five state-of-art algorithms over twelve datasets. The mean performance of the proposed algorithm is superior on 10 datasets and comparable in remaining two datasets. The analysis of experimental results confirms the efficacy of the suggested approach.

ACS Style

Tribhuvan Singh; Nitin Saxena; Manju Khurana; Dilbag Singh; Mohamed Abdalla; Hammam Alshazly. Data Clustering Using Moth-Flame Optimization Algorithm. Sensors 2021, 21, 4086 .

AMA Style

Tribhuvan Singh, Nitin Saxena, Manju Khurana, Dilbag Singh, Mohamed Abdalla, Hammam Alshazly. Data Clustering Using Moth-Flame Optimization Algorithm. Sensors. 2021; 21 (12):4086.

Chicago/Turabian Style

Tribhuvan Singh; Nitin Saxena; Manju Khurana; Dilbag Singh; Mohamed Abdalla; Hammam Alshazly. 2021. "Data Clustering Using Moth-Flame Optimization Algorithm." Sensors 21, no. 12: 4086.

Journal article
Published: 09 June 2021 in Journal of Function Spaces
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In this paper, the existence of multiplicity distinct weak solutions is proved for differentiable functionals for perturbed systems of impulsive nonlinear fractional differential equations. Further, examples are given to show the feasibility and efficacy of the key findings. This work is an extension of the previous works to Banach space.

ACS Style

Rafik Guefaifia; Mohamed Abdalla; Tahar Bouali; Fares Kamache; Bahri Belkacem Cherif; Ibrahim Mekawy. Multiplicity Solutions of Fractional Impulsive p -Laplacian Systems: New Result. Journal of Function Spaces 2021, 2021, 1 -15.

AMA Style

Rafik Guefaifia, Mohamed Abdalla, Tahar Bouali, Fares Kamache, Bahri Belkacem Cherif, Ibrahim Mekawy. Multiplicity Solutions of Fractional Impulsive p -Laplacian Systems: New Result. Journal of Function Spaces. 2021; 2021 ():1-15.

Chicago/Turabian Style

Rafik Guefaifia; Mohamed Abdalla; Tahar Bouali; Fares Kamache; Bahri Belkacem Cherif; Ibrahim Mekawy. 2021. "Multiplicity Solutions of Fractional Impulsive p -Laplacian Systems: New Result." Journal of Function Spaces 2021, no. : 1-15.

Research article
Published: 08 June 2021 in Journal of Function Spaces
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In this paper, we introduce a matrix version of the generalized heat polynomials. Some analytic properties of the generalized heat matrix polynomials are obtained including generating matrix functions, finite sums, and Laplace integral transforms. In addition, further properties are investigated using fractional calculus operators.

ACS Style

Mohamed Abdalla; Salah Mahmoud Boulaaras. Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus. Journal of Function Spaces 2021, 2021, 1 -7.

AMA Style

Mohamed Abdalla, Salah Mahmoud Boulaaras. Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus. Journal of Function Spaces. 2021; 2021 ():1-7.

Chicago/Turabian Style

Mohamed Abdalla; Salah Mahmoud Boulaaras. 2021. "Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus." Journal of Function Spaces 2021, no. : 1-7.

Research article
Published: 24 May 2021 in Mathematical Problems in Engineering
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Hypergeometric functions have many applications in various areas of mathematical analysis, probability theory, physics, and engineering. Very recently, Hidan et al. (Math. Probl. Eng., ID 5535962, 2021) introduced the (p, k)-extended hypergeometric functions and their various applications. In this line of research, we present an expansion of the k-Gauss hypergeometric functions and investigate its several properties, including, its convergence properties, derivative formulas, integral representations, contiguous function relations, differential equations, and fractional integral operators. Furthermore, the current results contain several of the familiar special functions as particular cases, and this extension may enrich the theory of special functions.

ACS Style

Mohamed Abdalla; Muajebah Hidan; Salah Mahmoud Boulaaras; Bahri-Belkacem Cherif. Investigation of Extended k-Hypergeometric Functions and Associated Fractional Integrals. Mathematical Problems in Engineering 2021, 2021, 1 -11.

AMA Style

Mohamed Abdalla, Muajebah Hidan, Salah Mahmoud Boulaaras, Bahri-Belkacem Cherif. Investigation of Extended k-Hypergeometric Functions and Associated Fractional Integrals. Mathematical Problems in Engineering. 2021; 2021 ():1-11.

Chicago/Turabian Style

Mohamed Abdalla; Muajebah Hidan; Salah Mahmoud Boulaaras; Bahri-Belkacem Cherif. 2021. "Investigation of Extended k-Hypergeometric Functions and Associated Fractional Integrals." Mathematical Problems in Engineering 2021, no. : 1-11.

Research article
Published: 30 April 2021 in Journal of Function Spaces
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Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering. In this article, we aim to introduce a number of Laplace and inverse Laplace integral transforms of functions involving the generalized and reverse generalized Bessel matrix polynomials. In addition, the current outcomes are yielded to more outcomes in the modern theory of integral transforms.

ACS Style

Muajebah Hidan; Mohamed Akel; Salah Mahmoud Boulaaras; Mohamed Abdalla. On Behavior Laplace Integral Operators with Generalized Bessel Matrix Polynomials and Related Functions. Journal of Function Spaces 2021, 2021, 1 -10.

AMA Style

Muajebah Hidan, Mohamed Akel, Salah Mahmoud Boulaaras, Mohamed Abdalla. On Behavior Laplace Integral Operators with Generalized Bessel Matrix Polynomials and Related Functions. Journal of Function Spaces. 2021; 2021 ():1-10.

Chicago/Turabian Style

Muajebah Hidan; Mohamed Akel; Salah Mahmoud Boulaaras; Mohamed Abdalla. 2021. "On Behavior Laplace Integral Operators with Generalized Bessel Matrix Polynomials and Related Functions." Journal of Function Spaces 2021, no. : 1-10.

Preprint content
Published: 27 April 2021
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This paper introduces two novel deep convolutional neural network (CNN) architectures for automated detection of COVID-19. The first model, CovidResNet, is inspired by the deep residual network (ResNet) architecture. The second model, CovidDenseNet, exploits the power of densely connected convolutional networks (DenseNet). The proposed networks are designed to provide fast and accurate diagnosis of COVID-19 using computed tomography (CT) images for the multi-class and binary classification tasks. The architectures are utilized in a first experimental study on the SARS-CoV-2 CT-scan dataset, which contains 4173 CT images for 210 subjects structured in a subject-wise manner for three different classes. First, we train and test the networks to differentiate COVID-19, non-COVID-19 viral infections, and healthy. Second, we train and test the networks on binary classification with three different scenarios: COVID-19 vs. healthy, COVID-19 vs. other non-COVID-19 viral pneumonia, and non-COVID-19 viral pneumonia vs. healthy. Our proposed models achieve up to 93.96% accuracy, 99.13% precision, 94% sensitivity, 97.73% specificity, and a 95.80% F1-score for binary classification, and up to 83.89% accuracy, 80.36% precision, 82% sensitivity, 92% specificity, and a 81% F1-score for the three-class classification tasks. The experimental results reveal the validity and effectiveness of the proposed networks in automated COVID-19 detection. The proposed models also outperform the baseline ResNet and DenseNet architectures while being more efficient.

ACS Style

Hammam Alshazly; Christoph Linse; Mohamed Abdalla; Erhardt Barth; Thomas Martinetz. COVID-Nets: Deep CNN Architectures for Detecting COVID-19 Using Chest CT Scans. 2021, 1 .

AMA Style

Hammam Alshazly, Christoph Linse, Mohamed Abdalla, Erhardt Barth, Thomas Martinetz. COVID-Nets: Deep CNN Architectures for Detecting COVID-19 Using Chest CT Scans. . 2021; ():1.

Chicago/Turabian Style

Hammam Alshazly; Christoph Linse; Mohamed Abdalla; Erhardt Barth; Thomas Martinetz. 2021. "COVID-Nets: Deep CNN Architectures for Detecting COVID-19 Using Chest CT Scans." , no. : 1.

Research article
Published: 23 April 2021 in Journal of Function Spaces
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In this paper, we study the asymptotic behavior of an incompressible Herschel-Bulkley fluid in a thin domain with Tresca boundary conditions. We study the limit when the ε tends to zero, we prove the convergence of the unknowns which are the velocity and the pressure of the fluid, and we obtain the limit problem and the specific Reynolds equation.

ACS Style

Abdelkader Saadallah; Nadhir Chougui; Fares Yazid; Mohamed Abdalla; Bahri Belkacem Cherif; Ibrahim Mekawy. Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions. Journal of Function Spaces 2021, 2021, 1 -9.

AMA Style

Abdelkader Saadallah, Nadhir Chougui, Fares Yazid, Mohamed Abdalla, Bahri Belkacem Cherif, Ibrahim Mekawy. Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions. Journal of Function Spaces. 2021; 2021 ():1-9.

Chicago/Turabian Style

Abdelkader Saadallah; Nadhir Chougui; Fares Yazid; Mohamed Abdalla; Bahri Belkacem Cherif; Ibrahim Mekawy. 2021. "Asymptotic Behavior of Solutions to Free Boundary Problem with Tresca Boundary Conditions." Journal of Function Spaces 2021, no. : 1-9.

Journal article
Published: 23 April 2021 in Journal of Function Spaces
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We consider a one-dimensional linear thermoelastic Bresse system with delay term, forcing, and infinity history acting on the shear angle displacement. Under an appropriate assumption between the weight of the delay and the weight of the damping, we prove the well-posedness of the problem using the semigroup method, where an asymptotic stability result of global solution is obtained.

ACS Style

Djamel Ouchenane; Zineb Khalili; Fares Yazid; Mohamed Abdalla; Bahri Belkacem Cherif; Ibrahim Mekawy. A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms. Journal of Function Spaces 2021, 2021, 1 -15.

AMA Style

Djamel Ouchenane, Zineb Khalili, Fares Yazid, Mohamed Abdalla, Bahri Belkacem Cherif, Ibrahim Mekawy. A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms. Journal of Function Spaces. 2021; 2021 ():1-15.

Chicago/Turabian Style

Djamel Ouchenane; Zineb Khalili; Fares Yazid; Mohamed Abdalla; Bahri Belkacem Cherif; Ibrahim Mekawy. 2021. "A New Result of Stability for Thermoelastic-Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms." Journal of Function Spaces 2021, no. : 1-15.

Journal article
Published: 19 April 2021 in Journal of Function Spaces
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This paper deals with the existence and uniqueness of solutions of a new class of Moore-Gibson-Thompson equation with respect to the nonlocal mixed boundary value problem, source term, and nonnegative memory kernel. Galerkin’s method was the main used tool for proving our result. This work is a generalization of recent homogenous work.

ACS Style

Salah Mahmoud Boulaaras; Abdelbaki Choucha; Djamel Ouchenane; Asma Alharbi; Mohamed Abdalla; Bahri Belkacem Cherif. Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition. Journal of Function Spaces 2021, 2021, 1 -15.

AMA Style

Salah Mahmoud Boulaaras, Abdelbaki Choucha, Djamel Ouchenane, Asma Alharbi, Mohamed Abdalla, Bahri Belkacem Cherif. Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition. Journal of Function Spaces. 2021; 2021 ():1-15.

Chicago/Turabian Style

Salah Mahmoud Boulaaras; Abdelbaki Choucha; Djamel Ouchenane; Asma Alharbi; Mohamed Abdalla; Bahri Belkacem Cherif. 2021. "Solvability for a New Class of Moore-Gibson-Thompson Equation with Viscoelastic Memory, Source Terms, and Integral Condition." Journal of Function Spaces 2021, no. : 1-15.

Journal article
Published: 18 April 2021 in Symmetry
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Traditionally, the special function theory has many applications in various areas of mathematical physics, economics, statistics, engineering, and many other branches of science. Inspired by certain recent extensions of the k-analogue of gamma, the Pochhammer symbol, and hypergeometric functions, this work is devoted to the study of the k-analogue of Gauss hypergeometric functions by the Hadamard product. We give a definition of the Hadamard product of k-Gauss hypergeometric functions (HPkGHF) associated with the fourth numerator and two denominator parameters. In addition, convergence properties are derived from this function. We also discuss interesting properties such as derivative formulae, integral representations, and integral transforms including beta transform and Laplace transform. Furthermore, we investigate some contiguous function relations and differential equations connecting the HPkGHF. The current results are more general than previous ones. Moreover, the proposed results are useful in the theory of k-special functions where the hypergeometric function naturally occurs.

ACS Style

Mohamed Abdalla; Muajebah Hidan. Investigation of the k-Analogue of Gauss Hypergeometric Functions Constructed by the Hadamard Product. Symmetry 2021, 13, 714 .

AMA Style

Mohamed Abdalla, Muajebah Hidan. Investigation of the k-Analogue of Gauss Hypergeometric Functions Constructed by the Hadamard Product. Symmetry. 2021; 13 (4):714.

Chicago/Turabian Style

Mohamed Abdalla; Muajebah Hidan. 2021. "Investigation of the k-Analogue of Gauss Hypergeometric Functions Constructed by the Hadamard Product." Symmetry 13, no. 4: 714.

Journal article
Published: 08 April 2021 in Symmetry
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The fractional integrals involving a number of special functions and polynomials have significant importance and applications in diverse areas of science; for example, statistics, applied mathematics, physics, and engineering. In this paper, we aim to introduce a slightly modified matrix of Riemann–Liouville fractional integrals and investigate this matrix of Riemann–Liouville fractional integrals associated with products of certain elementary functions and generalized Bessel matrix polynomials. We also consider this matrix of Riemann–Liouville fractional integrals with a matrix version of the Jacobi polynomials. Furthermore, we point out that a number of Riemann–Liouville fractional integrals associated with a variety of functions and polynomials can be presented, which are presented as problems for further investigations.

ACS Style

Mohamed Abdalla; Mohamed Akel; Junesang Choi. Certain Matrix Riemann–Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials. Symmetry 2021, 13, 622 .

AMA Style

Mohamed Abdalla, Mohamed Akel, Junesang Choi. Certain Matrix Riemann–Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials. Symmetry. 2021; 13 (4):622.

Chicago/Turabian Style

Mohamed Abdalla; Mohamed Akel; Junesang Choi. 2021. "Certain Matrix Riemann–Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials." Symmetry 13, no. 4: 622.

Journal article
Published: 06 April 2021 in Advances in Mathematical Physics
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In this manuscript, we consider the fourth order of the Moore–Gibson–Thompson equation by using Galerkin’s method to prove the solvability of the given nonlocal problem.

ACS Style

Ahlem Mesloub; Abderrahmane Zara; Fatiha Mesloub; Bahri-Belkacem Cherif; Mohamed Abdalla. The Galerkin Method for Fourth-Order Equation of the Moore–Gibson–Thompson Type with Integral Condition. Advances in Mathematical Physics 2021, 2021, 1 -17.

AMA Style

Ahlem Mesloub, Abderrahmane Zara, Fatiha Mesloub, Bahri-Belkacem Cherif, Mohamed Abdalla. The Galerkin Method for Fourth-Order Equation of the Moore–Gibson–Thompson Type with Integral Condition. Advances in Mathematical Physics. 2021; 2021 ():1-17.

Chicago/Turabian Style

Ahlem Mesloub; Abderrahmane Zara; Fatiha Mesloub; Bahri-Belkacem Cherif; Mohamed Abdalla. 2021. "The Galerkin Method for Fourth-Order Equation of the Moore–Gibson–Thompson Type with Integral Condition." Advances in Mathematical Physics 2021, no. : 1-17.

Journal article
Published: 04 April 2021 in Journal of Function Spaces
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In this work, we consider a new full von Kármán beam model with thermal and mass diffusion effects according to the Gurtin-Pinkin model combined with time-varying delay. Heat and mass exchange with the environment during thermodiffusion in the von Kármán beam. We establish the well-posedness and the exponential stability of the system by the energy method under suitable conditions.

ACS Style

Abdelbaki Choucha; Djamel Ouchenane; Salah Mahmoud Boulaaras; Bahri Belkacem Cherif; Mohamed Abdalla. Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay. Journal of Function Spaces 2021, 2021, 1 -16.

AMA Style

Abdelbaki Choucha, Djamel Ouchenane, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif, Mohamed Abdalla. Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay. Journal of Function Spaces. 2021; 2021 ():1-16.

Chicago/Turabian Style

Abdelbaki Choucha; Djamel Ouchenane; Salah Mahmoud Boulaaras; Bahri Belkacem Cherif; Mohamed Abdalla. 2021. "Well-Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time-Varying Delay." Journal of Function Spaces 2021, no. : 1-16.

Journal article
Published: 01 April 2021 in Journal of Function Spaces
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The paper deals with a one-dimensional porous-elastic system with thermoelasticity of type III and distributed delay term. This model is dealing with dynamics of engineering structures and nonclassical problems of mathematical physics. We establish the well posedness of the system, and by the energy method combined with Lyapunov functions, we discuss the stability of system for both cases of equal and nonequal speeds of wave propagation.

ACS Style

Djamel Ouchenane; Abdelbaki Choucha; Mohamed Abdalla; Salah Mahmoud Boulaaras; Bahri Belkacem Cherif. On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability. Journal of Function Spaces 2021, 2021, 1 -12.

AMA Style

Djamel Ouchenane, Abdelbaki Choucha, Mohamed Abdalla, Salah Mahmoud Boulaaras, Bahri Belkacem Cherif. On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability. Journal of Function Spaces. 2021; 2021 ():1-12.

Chicago/Turabian Style

Djamel Ouchenane; Abdelbaki Choucha; Mohamed Abdalla; Salah Mahmoud Boulaaras; Bahri Belkacem Cherif. 2021. "On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability." Journal of Function Spaces 2021, no. : 1-12.

Research article
Published: 30 March 2021 in Mathematical Problems in Engineering
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In a previous article, first and last researchers introduced an extension of the hypergeometric functions which is called “ p , k -extended hypergeometric functions.” Motivated by this work, here, we derive several novel properties for these functions, including integral representations, derivative formula, k-Beta transform, Laplace and inverse Laplace transforms, and operators of fractional calculus. Relevant connections of some of the discussed results here with those presented in earlier references are outlined.

ACS Style

Muajebah Hidan; Salah Mahmoud Boulaaras; Bahri-Belkacem Cherif; Mohamed Abdalla. Further Results on the p , k − Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators. Mathematical Problems in Engineering 2021, 2021, 1 -10.

AMA Style

Muajebah Hidan, Salah Mahmoud Boulaaras, Bahri-Belkacem Cherif, Mohamed Abdalla. Further Results on the p , k − Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators. Mathematical Problems in Engineering. 2021; 2021 ():1-10.

Chicago/Turabian Style

Muajebah Hidan; Salah Mahmoud Boulaaras; Bahri-Belkacem Cherif; Mohamed Abdalla. 2021. "Further Results on the p , k − Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators." Mathematical Problems in Engineering 2021, no. : 1-10.

Research article
Published: 18 March 2021 in Complexity
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By means of the averaging method of the first order, we introduce the maximum number of limit cycles which can be bifurcated from the periodic orbits of a Hamiltonian system. Besides, the perturbation has been used for a particular class of the polynomial differential systems.

ACS Style

Amor Menaceur; Salah Mahmoud Boulaaras; Amar Makhlouf; Karthikeyan Rajagobal; Mohamed Abdalla. Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method. Complexity 2021, 2021, 1 -6.

AMA Style

Amor Menaceur, Salah Mahmoud Boulaaras, Amar Makhlouf, Karthikeyan Rajagobal, Mohamed Abdalla. Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method. Complexity. 2021; 2021 ():1-6.

Chicago/Turabian Style

Amor Menaceur; Salah Mahmoud Boulaaras; Amar Makhlouf; Karthikeyan Rajagobal; Mohamed Abdalla. 2021. "Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method." Complexity 2021, no. : 1-6.

Journal article
Published: 01 March 2021 in Journal of Function Spaces
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This paper studies the system of coupled nondegenerate viscoelastic Kirchhoff equations with a distributed delay. By using the energy method and Faedo-Galerkin method, we prove the global existence of solutions. Furthermore, we prove the exponential stability result.

ACS Style

Abdelbaki Choucha; Salah Mahmoud Boulaaras; Djamel Ouchenane; Salem Alkhalaf; Ibrahim Mekawy; Mohamed Abdalla. On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay. Journal of Function Spaces 2021, 2021, 1 -13.

AMA Style

Abdelbaki Choucha, Salah Mahmoud Boulaaras, Djamel Ouchenane, Salem Alkhalaf, Ibrahim Mekawy, Mohamed Abdalla. On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay. Journal of Function Spaces. 2021; 2021 ():1-13.

Chicago/Turabian Style

Abdelbaki Choucha; Salah Mahmoud Boulaaras; Djamel Ouchenane; Salem Alkhalaf; Ibrahim Mekawy; Mohamed Abdalla. 2021. "On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay." Journal of Function Spaces 2021, no. : 1-13.

Preprint content
Published: 03 February 2021
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In this study, we investigate a new natural extension of hypergeometric functions with the two parameters p and k which is so called (p, k)-extended hypergeometric functions”. In particular, we introduce the (p, k)-extended Gauss and Kummer (or confluent) hypergeometric functions. The basic properties of the (p, k)-extended Gauss and Kummer hypergeometric functions, including convergence properties, integral and derivative formulas, contiguous function relations and differential equations. Since the latter functions contain many of the familiar special functions as sub-cases, this extension is enriches theory of k-special functions.

ACS Style

Mohamed Abdalla; H Hidan. Some results on (p, k)-extension of the hypergeometric functions. 2021, 1 .

AMA Style

Mohamed Abdalla, H Hidan. Some results on (p, k)-extension of the hypergeometric functions. . 2021; ():1.

Chicago/Turabian Style

Mohamed Abdalla; H Hidan. 2021. "Some results on (p, k)-extension of the hypergeometric functions." , no. : 1.

Preprint content
Published: 02 February 2021
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The purpose of this paper is to state some fixed point theorems in ordered bicomplex valued metric spaces for generalized rational type contraction mappings. Examples are given to illustrate the results. Also, some special cases of the established results are deduced as corollaries.

ACS Style

Mohamed Abdalla; Fuli He; Zahia Mostefaoui. Fixed point results in ordered bicomplex-valued metric spaces. 2021, 1 .

AMA Style

Mohamed Abdalla, Fuli He, Zahia Mostefaoui. Fixed point results in ordered bicomplex-valued metric spaces. . 2021; ():1.

Chicago/Turabian Style

Mohamed Abdalla; Fuli He; Zahia Mostefaoui. 2021. "Fixed point results in ordered bicomplex-valued metric spaces." , no. : 1.