Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions

Abstract

The purpose of this article is to investigate the existence and uniqueness of solutions for a nonlinear Hadamard fractional differential system with integral conditions. We employ a recent fixed point theorem involving with increasing -concave operators and then obtain a unique result for our system dependent on two constants. Moreover, we construct convergent sequences to approximate the unique solution. In the end, an example is given to illustrate the theoretical results.