Results 11 to 20 of about 380 (117)

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

open access: yesAdvances in Mathematical Physics
MSC2020 Classification: 26A33, 44A20, 74A25, 33C45 ...
Mulualem Aychluh   +3 more
doaj   +2 more sources

Some New Application of Extended Wright Function

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 65D20, 33E20 ...
Pallavi Sharma   +3 more
doaj   +2 more sources

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

open access: yesMoroccan 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

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

open access: yesOpen 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   +2 more
doaj   +1 more source

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

open access: yesInternational 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   +2 more
wiley   +1 more source

Khalouta transform and applications to Caputo-fractional differential equations

open access: yesFrontiers in Applied Mathematics and Statistics
The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both Riemann-Liouville and Caputo fractional derivative.
Nikita Kumawat   +4 more
doaj   +1 more source

Generalized Fractional Integral Operators Involving the H―-Function and Their Applications to Special Functions

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak   +2 more
doaj   +1 more source

Existence and stability of impulsive coupled system of fractional integrodifferential equations

open access: yesDemonstratio 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   +3 more
doaj   +1 more source

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

open access: yesInternational 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   +3 more
wiley   +1 more source

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

open access: yesInternational 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   +4 more
wiley   +1 more source

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