Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional <i>q</i>-derivatives-Reference-Cited by-同舟云学术

Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional q-derivatives

Published:2023-01-01 Issue:1 Volume:56 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Alzabut Jehad¹²,Houas Mohamed³,Abbas Mohamed I.⁴

Affiliation:

1. Department of Mathematics and Sciences, Prince Sultan University , 11586 Riyadh , Saudi Arabia

2. Department of Industrial Engineering, OSTİM Technical University , Ankara 06374 , Türkiye

3. Laboratory FIMA, UDBKM , Khemis Miliana University , Algeria

4. Department of Mathematics and Computer Science, Faculty of Science, Alexandria University , Alexandria 21511 , Egypt

Abstract

Abstract In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for the proposed system are established by means of Leray-Schauder’s alternative and the Banach contraction principle. Furthermore, the Ulam-Hyers and Ulam-Hyers-Rassias stability results are discussed. Finally, two illustrative examples are given to highlight the theoretical findings.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0205/pdf

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