Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system-Reference-Cited by-同舟云学术

Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system

Published:2024 Issue:6 Volume:9 Page:16203-16233
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Muthaiah Subramanian¹,Murugesan Manigandan²,Awadalla Muath³,Unyong Bundit⁴,Egami Ria H.⁵

Affiliation:

1. Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore, 641407, Tamilnadu, India

2. Center for Computational Modeling, Chennai Institute of Technology, Chennai, 600069, Tamil Nadu, India

3. Department of Mathematics and Statistics, College of Science, King Faisal University, Hofuf 31982, Al Ahsa, Saudi Arabia

4. Department of Mathematics and Statistics, Center of Excellence for Ecoinformatics, School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand

5. Department of Mathematics, College of Science and Humanities in Sulail, Prince Sattam Bin Abdulaziz University, Saudi Arabia

Abstract

<abstract><p>This study aimed to investigate the existence, uniqueness, and Ulam-Hyers stability of solutions in a nonlinear coupled system of Hilfer-Hadamard sequential fractional integrodifferential equations, which were further enhanced by nonlocal coupled Hadamard fractional integrodifferential multipoint boundary conditions. The desired conclusions were obtained by using well-known fixed-point theorems. It was emphasized that the fixed-point technique was useful in determining the existence and uniqueness of solutions to boundary value problems. In addition, we examined the solution's Ulam-Hyers stability for the suggested system. The resulting results were further demonstrated and validated using demonstration instances.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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