An Initial Value Problem Involving Caputo-Hadamard Fractional Derivative: The Extremal Solutions and Stabilization

Abstract

In this paper, the existence of extremal solutions of Caputo-Hadamard-type fractional di erential equations (CHFDEs) with order α ∈ (1, 2) is established by employing the method of lower and upper solutions. Moreover, su cient condition that ensure the stability of a class of CHFDE is also provided. Some examples are given to illustrate our main results.