Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses

Abstract

Listen

Translate article

In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ−derivative initial conditions. By employing Banach’s and Schaefer’s fixed-point theorems, we attain the required results. Finally, we provide examples that support the main findings we arrived at.