Existence and Hyers–Ulam stability of solutions for nonlinear three fractional sequential differential equations with nonlocal boundary conditions-Reference-Cited by-同舟云学术

Existence and Hyers–Ulam stability of solutions for nonlinear three fractional sequential differential equations with nonlocal boundary conditions

Published:2022-10-27 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Subramanian Muthaiah¹^ORCID,Manigandan Murugesan²,Zada Akbar³^ORCID,Gopal Thangaraj Nandha¹

Affiliation:

1. Department of Mathematics , KPR Institute of Engineering and Technology , Coimbatore , Tamilnadu , India

2. Department of Mathematics , Sri Ramakrishna Mission Vidyalaya College of Arts and Science , Coimbatore , Tamilnadu , India

3. Department of Mathematics , University of Peshawar , Peshawar , Pakistan

Abstract

Abstract In this paper, we analyses the existence and Hyers–Ulam stability of a coupled system of three sequential fractional differential equations with coupled integral boundary conditions. This manuscript can be categorized into three parts: The Leray–Schauder alternative is used to prove the existence of a solution in the first section. The second section emphasizes the analysis of uniqueness, which is based on the Banach fixed point theorem’s concept of contraction mapping, and the third section establishes the Hyers–Ulam stability results. In addition, we provide examples to demonstrate our findings.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2022-0152/pdf

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