Results 21 to 30 of about 1,041 (176)

A numerical study of anomalous electro-diffusion cells in cable sense with a non-singular kernel

Demonstratio Mathematica, 2022
The time-fractional cable model is solved using an extended cubic B-spline (ECBS) collocation strategy. The B-spline function was used for space partitioning, while the Caputo-Fabrizio (CF) was used for temporal discretization.
Iqbal Azhar, Akram Tayyaba
doaj   +1 more source

Analytical Solution of Fractional Order Mathematical Model in the Time of COVID-19 by Fractional Differential Transform Method

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
In this paper, we will discuss an analytical solution and numerical simulation of fractional order mathematical model on COVID-19 under Caputo sense with the help of fractional differential transform method for different values of q, where q ∈ (0,1]. The
A. Nagargoje, R. Teppawar
semanticscholar   +1 more source

An efficient algorithm for solving the conformable time-space fractional telegraph equations

Moroccan Journal of Pure and Applied Analysis, 2021
In this paper, an efficient algorithm is proposed for solving one dimensional time-space-fractional telegraph equations. The fractional derivatives are described in the conformable sense.
Saad Abdelkebir, Brahim Nouiri
doaj   +1 more source

Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions

Advances in Mathematical Physics
MSC2020 Classification: 26A33, 44A20, 74A25, 33C45 ...
Mulualem Aychluh, D. L. Suthar, S. D. Purohit, Biniyam Shimelis   +3 more
doaj   +1 more source

On the Solution Structure of Sequential φ‐Hilfer Fractional Differential Equations With p‐Laplacian Operator

Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.
This work researches in a class of φ‐Hilfer FDEs with p‐Laplacian operator by evolving an appropriate analytical framework. We demonstrate the existence and uniqueness of solutions utilizing Banach′s fixed‐point theorem. Subsequently, an alternative theorem is applied to verify the existence of at least a single solution. In addition to the theoretical
Mohammed Kaid, Khellaf Ould Melha, Mohammad Esmael Samei, Sabri T. M. Thabet, Taoufik Moulahi, Thabet Abdeljawad, Higinio Ramos Calle   +6 more
wiley   +1 more source

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

Open Mathematics, 2020
The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng, Mohammed Pshtiwan Othman, Zeng Huidan   +2 more
doaj   +1 more source

A Morgan‐Voyce Polynomial Framework for Solving Variable‐Order Atangana–Baleanu Fractional Differential Equations

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a novel and efficient spectral collocation framework for solving nonlinear variable‐order fractional differential equations (VO‐FDEs) involving the Atangana–Baleanu–Caputo (ABC) operator. Shifted Morgan‐Voyce polynomials (SMVPs) are employed as basic functions to construct a new operational matrix specifically adapted to the ...
Ghadah S. E. Noman, D. D. Pawar, Sining Zheng   +2 more
wiley   +1 more source

A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article investigates mathematical simulations of Michaelis–Menten kinetics in differential biochemical reactions by implementing fractional derivatives. It establishes numerical computations for the concentrations of enzymes, substrates, inhibitors, products, and several complex intermediates using the homotopy perturbation method (HPM), homotopy ...
B. Radhakrishnan, P. Chandru, W. D. Mergia, Igor Freire   +3 more
wiley   +1 more source

Existence and stability of impulsive coupled system of fractional integrodifferential equations

Demonstratio Mathematica, 2019
In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and ...
Zada Akbar, Waheed Hira, Alzabut Jehad, Wang Xiaoming   +3 more
doaj   +1 more source

A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two‐Dimensional Partial Volterra Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper introduces a new numerical method for solving a class of two‐dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional‐order equations into a more manageable system of algebraic equations.
S. S. Gholami, A. Ebadian, A. A. Khajehnasiri, Kareem T. Elgindy, Birendra Nath Mandal   +4 more
wiley   +1 more source