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

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.

Keywords

• coupled integrodifferential system
• sequential derivatives
• hadamard integrals
• derivatives
• hilfer-hadamard derivatives
• multi-points
• existence
• uniqueness
• ulam-hyers stability