@article{Muthaiah2024, 
author = {Subramanian Muthaiah and Manigandan Murugesan and Muath Awadalla and Bundit Unyong and Ria H. Egami},
title = {Ulam-Hyers stability and existence results for a coupled sequential Hilfer-Hadamard-type integrodifferential system},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {6},
pages = {16203-16233},
keywords = {coupled integrodifferential system, sequential derivatives, Hadamard integrals, derivatives, Hilfer-Hadamard derivatives, multi-points, existence, uniqueness, Ulam-Hyers stability},
url = {https://www.sciopen.com/article/10.3934/math.2024784},
doi = {10.3934/math.2024784},
abstract = {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.}
}