Stability analysis for a tripled system of fractional pantograph differential equations with nonlocal conditions-Reference-Cited by-同舟云学术

Stability analysis for a tripled system of fractional pantograph differential equations with nonlocal conditions

Published:2023-01-12 Issue:3-4 Volume:30 Page:632-647
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Hammad Hasanen A¹²,Rashwan Rashwan A³,Nafea Ahmed²,Samei Mohammad Esmael⁴^ORCID,Noeiaghdam Samad⁵⁶^ORCID

Affiliation:

1. Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah, Saudi Arabia

2. Department of Mathematics, Faculty of Science, Sohag University, Egypt

3. Department of Mathematics, Faculty of Science, Assiut University, Egypt

4. Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, Iran

5. Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk, Russia

6. Department of Applied Mathematics and Programming, South Ural State University, Chelyabinsk, Russia

Abstract

The goal of this article is to obtain the existence and uniqueness of a tripled fixed point to the underlying tripled system of fractional pantograph differential equations. We also used degree theory with non-local boundary conditions to derive relevant results supporting the existence of at least one solution to our proposed system. Furthermore, some stability analysis such as Ulam–Hyers and generalized Ulam–Hyers are established. Finally, an illustrative example is presented to support and enhance our analysis.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/10775463221149232

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