Study on a Nonlocal Fractional Coupled System Involving (k,ψ)-Hilfer Derivatives and (k,ψ)-Riemann–Liouville Integral Operators-Reference-Cited by-同舟云学术

Study on a Nonlocal Fractional Coupled System Involving (k,ψ)-Hilfer Derivatives and (k,ψ)-Riemann–Liouville Integral Operators

Published:2024-04-04 Issue:4 Volume:8 Page:211
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Samadi Ayub¹,Ntouyas Sotiris K.²^ORCID,Tariboon Jessada³^ORCID

Affiliation:

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

2. Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece

3. 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

This paper deals with a nonlocal fractional coupled system of (k,ψ)-Hilfer fractional differential equations, which involve, in boundary conditions, (k,ψ)-Hilfer fractional derivatives and (k,ψ)-Riemann–Liouville fractional integrals. The existence and uniqueness of solutions are established for the considered coupled system by using standard tools from fixed point theory. More precisely, Banach and Krasnosel’skiĭ’s fixed-point theorems are used, along with Leray–Schauder alternative. The obtained results are illustrated by constructed numerical examples.

Funder

King Mongkut's University of Technology North Bangkok

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/4/211/pdf

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