Results 11 to 20 of about 2,390 (148)

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   +2 more sources

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

Fractional Sturm-Liouville eigenvalue problems, II [PDF]

, 2017
We continue the study of a non self-adjoint fractional three-term Sturm-Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left-Riemann-Liouville fractional integral under {\it Dirichlet type} boundary
Dehghan, Mohammad, Mingarelli, Angelo B.
core   +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

Khalouta transform and applications to Caputo-fractional differential equations

Frontiers 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, Akanksha Shukla, Manvendra Narayan Mishra, Rahul Sharma, Ravi Shanker Dubey   +4 more
doaj   +1 more source

A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients

, 2018
In this note we show how a initial value problem for a relaxation process governed by a differential equation of non-integer order with a constant coefficient may be equivalent to that of a differential equation of the first order with a varying ...
Mainardi, Francesco
core   +2 more sources

A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications

Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.
In this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations. By applying the Sumudu transform, we derive solutions for the fractional differential equations and fractional kinetic equations expressed in terms of Prabhakar’s Mittag ...
B. B. Jaimini, Meenu, Suman Sharma, S. D. Purohit, D. L. Suthar, Deepali   +5 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

Strict LpSolutions for Nonautonomous Fractional Evolution Equations [PDF]

, 2012
MSC 2010: 26A33, 34A08 ...
Bazhlekova, Emilia
core  

Some New Application of Extended Wright Function

Abstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 65D20, 33E20 ...
Pallavi Sharma, Ekta Mittal, D. L. Suthar, Rajni Gupta   +3 more
doaj   +1 more source