Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions-Reference-Cited by-同舟云学术

Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions

Published:2024 Issue:9 Volume:9 Page:25849-25878
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Samdrup Tshering Ugyen¹,Thailert Ekkarath²³,Ntouyas Sotiris K.⁴

Affiliation:

1. Department of Mathematics, Royal University of Bhutan, Bhutan

2. Department of Mathematics, Naresuan University, Phitsanulok 65000, Thailand

3. Research Center for Academic Excellence in Mathematics, Naresuan University, Phitsanulok 65000, Thailand

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

Abstract

<p>In this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point theorems. The existence of solutions is proved using Krasnoselskii's fixed point theorem, while the existence and uniqueness of solutions is established using the Banach fixed point theorem. We also discuss the stability of the problem in terms of Ulam-Hyers, Ulam-Hyers-Rassias, generalized Ulam-Hyers, and generalized Ulam-Hyers-Rassias stability. As an application, some examples are presented to illustrate our theoretical results.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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