Investigation of a Coupled System of Hilfer–Hadamard Fractional Differential Equations with Nonlocal Coupled Hadamard Fractional Integral Boundary Conditions-Reference-Cited by-同舟云学术

Investigation of a Coupled System of Hilfer–Hadamard Fractional Differential Equations with Nonlocal Coupled Hadamard Fractional Integral Boundary Conditions

Published:2023-02-10 Issue:2 Volume:7 Page:178
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Ahmad Bashir¹^ORCID,Aljoudi Shorog²^ORCID

Affiliation:

1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

2. Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Abstract

We investigate the existence criteria for solutions of a nonlinear coupled system of Hilfer–Hadamard fractional differential equations of different orders complemented with nonlocal coupled Hadamard fractional integral boundary conditions. The desired results are accomplished with the aid of standard fixed-point theorems. We emphasize that the fixed point approach is one of the effective methods to establish the existence results for boundary value problems. Examples illustrating the obtained results are constructed.

Funder

Taif University

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/2/178/pdf

Reference29 articles.

1. Podlubny, I. (1998). Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications, Elsevier.

2. Zhou, Y. (2014). Basic Theory of Fractional Differential Equations, World Scientific.

3. Some pioneers of the applications of fractional calculus;Valerio;Fract. Calc. Appl. Anal.,2014

4. Recent history of fractional calculus;Machado;Commun. Nonlinear Sci. Numer. Simul.,2011

5. Hilfer, R. (2000). Applications of Fractional Calculus in Physics, World Scientific.

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