Analysis of coupled system of implicit fractional differential equations involving Katugampola-Caputo fractional derivative (Q2179152)

Summary: In this paper, we study the existence and uniqueness of solutions to implicit the coupled fractional differential system with the Katugampola-Caputo fractional derivative. Different fixed-point theorems are used to acquire the required results. Moreover, we derive some sufficient conditions to guarantee that the solutions to our considered system are Hyers-Ulam stable. We also provided an example that explains our results.