On a Coupled Differential System Involving (k,ψ)-Hilfer Derivative and (k,ψ)-Riemann–Liouville Integral Operators-Reference-Cited by-同舟云学术

On a Coupled Differential System Involving (k,ψ)-Hilfer Derivative and (k,ψ)-Riemann–Liouville Integral Operators

Published:2023-02-22 Issue:3 Volume:12 Page:229
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Samadi Ayub¹^ORCID,Ntouyas Sotiris K.²^ORCID,Ahmad Bashir³^ORCID,Tariboon Jessada⁴^ORCID

Affiliation:

1. Department of Mathematics, Miyaneh Branch, Islamic Azad University, Miyaneh 5315836511, Iran

2. Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

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

4. Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand

Abstract

We investigate a nonlinear, nonlocal, and fully coupled boundary value problem containing mixed (k,ψ^)-Hilfer fractional derivative and (k,ψ^)-Riemann–Liouville fractional integral operators. Existence and uniqueness results for the given problem are proved with the aid of standard fixed point theorems. Examples illustrating the main results are presented. The paper concludes with some interesting findings.

Funder

National Science, Research and Innovation Fund (NSRF) and King Mongkut’s University of Technology North Bangkok

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/3/229/pdf

Reference21 articles.

1. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of the Fractional Differential Equations, North-Holland Mathematics Studies.

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

3. An alternative definition for the k-Riemann-Liouville fractional derivative;Dorrego;Appl. Math. Sci.,2015

4. On the ψ^-Hilfer fractional derivative;Commun. Nonlinear Sci. Numer. Simul.,2018

5. Boundary value problems of Hilfer-type fractional integro-differential equations and inclusions with nonlocal integro-multipoint boundary conditions;Nuchpong;Open Math.,2020

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Study on a Nonlocal Fractional Coupled System Involving (k,ψ)-Hilfer Derivatives and (k,ψ)-Riemann–Liouville Integral Operators;Fractal and Fractional;2024-04-04

2. Symmetry analysis for nonlinear fractional terminal system under $ w $-Hilfer fractional derivative in different weighted Banach spaces;AIMS Mathematics;2024