Boundary value problem for Caputo-Hadamard fractional differential equations

Abstract

The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain. We used the standard and Krasnoselskii's fixed point theorems. Some new results of existence and uniqueness solutions for Caputo-Hadamard fractional equations are obtained.

Keywords

• Caputo-Hadamard derivative
• Fractional differential equations
• Fixed point theorems.