Investigation of Ulam stability results of a coupled system of nonlinear implicit fractional differential equations

Abstract

This manuscript deals with the existence theory, uniqueness, and various kinds of Ulam-Hyers stability of solutions for a class and coupled system of fractional order differential equations involving Caputo derivatives. Applying Schaefer and Banach's fixed point approaches, existence and uniqueness results are obtained for the proposed problems. Stability results are investigated by using the classical technique of nonlinear functional analysis. Examples are given with each problem to illustrate the main results.