A Mathematical Theoretical Study of a Coupled Fully Hybrid (k, Φ)-Fractional Order System of BVPs in Generalized Banach Spaces-Reference-Cited by-同舟云学术

A Mathematical Theoretical Study of a Coupled Fully Hybrid (k, Φ)-Fractional Order System of BVPs in Generalized Banach Spaces

Published:2023-05-08 Issue:5 Volume:15 Page:1041
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Boutiara Abdellatif¹^ORCID,Etemad Sina²^ORCID,Thabet Sabri T. M.³⁴^ORCID,Ntouyas Sotiris K.⁵^ORCID,Rezapour Shahram²⁶^ORCID,Tariboon Jessada⁷^ORCID

Affiliation:

1. Laboratory of Mathematics and Applied Sciences, University of Ghardaia, Ghardaia 47000, Algeria

2. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 3751-71379, Iran

3. Department of Mathematics, University of Lahej, Lahej 73560, Yemen

4. Department of Mathematics, University of Aden, Aden 124, Yemen

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

6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

7. 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

Abstract

In this paper, we study a coupled fully hybrid system of (k,Φ)–Hilfer fractional differential equations equipped with non-symmetric (k,Φ)–Riemann-Liouville (RL) integral conditions. To prove the existence and uniqueness results, we use the Krasnoselskii and Perov fixed-point theorems with Lipschitzian matrix in the context of a generalized Banach space (GBS). Moreover, the Ulam–Hyers (UH) stability of the solutions is discussed by using the Urs’s method. Finally, an illustrated example is given to confirm the validity of our results.

Funder

National Science, Research, and Innovation Fund

King Mongkut’s University of Technology North Bangkok

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/5/1041/pdf

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