Separated boundary value problems via quantum Hilfer and Caputo operators-Reference-Cited by-同舟云学术

Separated boundary value problems via quantum Hilfer and Caputo operators

Published:2024 Issue:7 Volume:9 Page:19473-19494
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ahmed Idris¹²,Ntouyas Sotiris K.³,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, Faculty of Natural and Applied Sciences, Sule Lamido University, P.M.B 048 Kafin-Hausa, Jigawa State, Nigeria

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

Abstract

<abstract><p>This paper describes a new class of boundary value fractional-order differential equations of the $ q $-Hilfer and $ q $-Caputo types, with separated boundary conditions. The presented problem is converted to an equivalent integral form, and fixed-point theorems are used to prove the existence and uniqueness of solutions. Moreover, several special cases demonstrate how the proposed problems advance beyond the existing literature. Examples are provided to support the analysis presented.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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