Existence and uniqueness results of solution for the initial value problem of Hadamard fractional sequential differential systems

Abstract

In this paper, we study the existence and uniqueness of solutions for Hadamard fractional sequential differential systems involving the Hadamard fractional derivative with orders α ∈ (1,2] and β ∈ (2,3].The main tools in our study are Banach fixed point theorem and schauder fixed point theorem. An example is provided to illustrate our main results.