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Analysis of the Fractional Differential Equations Using Two Different Methods
(MDPI, 2022-12-26)
Numerical methods play an important role in modern mathematical research, especially studying the symmetry analysis and obtaining the numerical solutions of fractional differential equation. In the current work, we use two ...
A Nonlinear Structure of a Chemical Reaction Model and Numerical Modeling with the New Aspect of Existence and Uniqueness
(MDPI, 2022-12-22)
In this article, a nonlinear autocatalytic chemical reaction glycolysis model with the appearance of advection and diffusion is proposed. The occurrence and unicity of the solutions in Banach spaces are investigated. The ...
A Study on the Modified Form of Riemann-Type Fractional Inequalities via Convex Functions and Related Applications
(MDPI, 2022-12-19)
In this article, we provide constraints for the sum by employing a generalized modified form of fractional integrals of Riemann-type via convex functions. The mean fractional inequalities for functions with convex absolute ...
A Computational Scheme for the Numerical Results of Time-Fractional Degasperis–Procesi and Camassa–Holm Models
(MDPI, 2022-11-30)
This article presents an idea of a new approach for the solitary wave solution of the modified Degasperis–Procesi (mDP) and modified Camassa–Holm (mCH) models with a time-fractional derivative. We combine Laplace transform ...
Approximate and Exact Solutions in the Sense of Conformable Derivatives of Quantum Mechanics Models Using a Novel Algorithm
(MDPI, 2023-03-17)
The entirety of the information regarding a subatomic particle is encoded in a wave function. Solving quantum mechanical models (QMMs) means finding the quantum mechanical wave function. Therefore, great attention has been ...
2-Absorbing Vague Weakly Complete Γ-Ideals in Γ-Rings
(MDPI, 2023-03-17)
The aim of this study is to provide a generalization of prime vague Γ-ideals in Γ-rings by introducing non-symmetric 2-absorbing vague weakly complete Γ-ideals of commutative Γ-rings. A novel algebraic structure of a primary ...
On the Soliton Solutions for the Stochastic Konno–Oono System in Magnetic Field with the Presence of Noise
(MDPI, 2023-03-17)
In this study, we consider the stochastic Konno–Oono system to investigate the soliton solutions under the multiplicative sense. The multiplicative noise is considered firstly in the Stratonovich sense and secondly in the ...
On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications
(MDPI, 2023-02-25)
This research focuses on the Ostrowski–Mercer inequalities, which are presented as variants of Jensen’s inequality for differentiable convex functions. The main findings were effectively composed of convex functions and ...
Epidemiological Analysis of Symmetry in Transmission of the Ebola Virus with Power Law Kernel
(MDPI, 2023-03-06)
This study presents a mathematical model of non-integer order through the fractal fractional Caputo operator to determine the development of Ebola virus infections. To construct the model and conduct analysis, all Ebola ...
Fixed Point Approaches for Multi-Valued Prešić Multi-Step Iterative Mappings with Applications
(MDPI, 2023-03-09)
The purpose of this paper is to present some fixed point approaches for multi-valued Prešić k-step iterative-type mappings on a metric space. Furthermore, some corollaries are obtained to unify and extend many symmetrical ...