Hilfer fractional quantum system with Riemann-Liouville fractional derivatives and integrals in boundary conditions-Reference-Cited by-同舟云学术

Hilfer fractional quantum system with Riemann-Liouville fractional derivatives and integrals in boundary conditions

Published:2024 Issue:1 Volume:9 Page:218-239
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Passary Donny¹,Ntouyas Sotiris K.²,Tariboon Jessada¹

Affiliation:

1. 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

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

Abstract

<abstract><p>In this paper, we initiate the study of existence and uniqueness of solutions for a coupled system involving Hilfer fractional quantum derivatives with nonlocal boundary value conditions containing $ q $-Riemann-Liouville fractional derivatives and integrals. Our results are supported by some well-known fixed-point theories, including the Banach contraction mapping principle, Leray-Schauder alternative and the Krasnosel'skiǐ fixed-point theorem. Examples of these systems are also given in the end.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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