Myocardial Infarction (MI) is a condition often leading to death. It arises from inadequate blood flow to the heart, therefore, the classification of MI complications contributing to lethal outcomes is essential to save lives. Machine learning algorithms provide solutions to support the categorization of the MI complication attributes and predict lethal results. This paper compares various machine learning algorithms to classify myocardial infarction complications and to predict fatal consequences. The considered algorithms are Multilayer Perceptron (MLP), Naive Bayes (NB), and Decision Tree (DT). The main objective of this paper is to compare these algorithms in two scenarios: initially using the full dataset once and then using the dataset again, after implementing the WEKA attribute selection algorithm. To accomplish this goal, data from the Krasnoyarsk Interdistrict Clinical Hospital were employed. Results in general revealed that the MLP classifier demonstrated optimal performance regarding the full MI data, whereas the DT classifier emerged as more favorable when the dataset sample size was diminished through an attribute selection algorithm.
The isothermal gas sphere model may be beneficial for understanding certain features of astrophysical objects like stars, but it has severe limits when used for compact stars. This study expands the Tolman–Oppenheimer–Volkoff (TOV) equation of the fractional relativistic gas sphere to contain fractional derivatives, resulting in a more general fractional TOV equation (FTOVI). The analytical solution of the FTOVI equation is tackled using an accelerated series expansion. We computed models for various relativistic ( σ ) and fractional ( α ) parameters. Models with α = 1 are retained to the relativistic integer models calculated by the integer version of the TOV equation. We examine the effects of the relativistic and fractional parameters on the Emden function, mass function, and the first derivative of the Emden function and the impact of these quantities on the pressure, density, and mass-radius relation. Investigating the central density-mass relation as an analog to neutron stars indicates that a maximum mass of the sphere exists, which further increases central density, resulting in instability and collapse. The observed mass and radius of three neutron stars and those predicted from the FTOVI models agreed well. The results of high-density fractional models demonstrate that fractional derivatives might drastically modify the expected mass and radius of neutron stars compared to integer models, indicating a possible need to reinterpret observational data of neutron stars via the lens of fractional calculus.
22 April 2024 in International Journal of Analysis and Applications
The focus of this paper is on the nonlinear coupled evolution equations, specifically within the context of the fractional coupled modified Korteweg–de Vries (mKdV) equation, employing the conformable fractional derivative (CFD) approach. The primary objective of this paper is to thoroughly investigate the applicability of the Hirota bilinear method for deriving analytical solutions to the fractional mKdV equations. A range of exact analytical solutions for the fractional coupled mKdV equations is obtained. The findings in general indicate that the Hirota bilinear method is an effective approach for resolving the complexities associated with the fractional coupled mKdV equations.
The unified Mittag-Leffler (ML) function is important factor in formulation of compact form of fractional integrals. In this paper estimations of integral operators, with the unified ML function as kernel are given. The Hadamard inequality in the form of fractional integrals is proved by considering refinement of convexities. These estimations provide various inequalities as refinements of recently published results.
20 August 2026 in Journal of Mathematical Chemistry
This paper aims to present new estimates of generalized Riemann-Liouville (RL)fractional integrals via an increasing function. A new class of functions containing severalconvexities is considered in establishing fractional integral inequalities. Some special casesare deduced by considering specific functions. Also, a Hermite-Hadamard inequality is provedfor RL fractional integrals of Ξ − (h, ϑ; α)-convex function.