An existence study on the fractional coupled nonlinear \(q\)-difference systems via quantum operators along with Ulam-Hyers and Ulam-Hyers-Rassias stability
type: Item
instance of: scholarly article
title: An existence study on the fractional coupled nonlinear \(q\)-difference systems via quantum operators along with Ulam-Hyers and Ulam-Hyers-Rassias stability
zbMATH Open document ID: 1501.39002
DOI: 10.1155/2022/4483348
author: Sh. Rezapour
author: Chatthai Thaiprayoon
author: Sina Etemad
author: Weerawat Sudsutad
author: Chernet Tuge Deressa
author: Akbar Zada
published in: Journal of Function Spaces
publication date: 2022-10-25T00:00:00Z
review text: Summary: In this paper, we study the existence of solutions and their uniqueness and different kinds of Ulam-Hyers stability for a new class of nonlinear Caputo quantum boundary value problems. Also, we investigate such properties for the relevant generalized coupled \(q\)-system involving fractional quantum operators. By using the Banach contraction principle and Leray-Schauder's fixed-point theorem, we prove the existence and uniqueness of solutions for the suggested fractional quantum problems. The Ulam-Hyers stability of solutions in different forms are studied. Finally, some examples are provided for both \(q\)-problem and coupled \(q\)-system to show the validity of the main results.
Mathematics Subject Classification ID: 39A13
Mathematics Subject Classification ID: 39A27
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7607195
zbMATH Keywords: Leray-Schauder's fixed-point theorem
zbMATH Keywords: contraction principle
zbMATH Keywords: Ulam-Hyers stability
zbMATH Keywords: Caputo quantum boundary value problems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2022/4483348
OpenAlex ID: W4296935342
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description: scientific article; zbMATH DE number 7607195