Initial value problems of fractional order Hadamard-type functional differential equations

Abstract

The Banach fixed point theorem and a nonlinear alternative of Leray-Schauder type are used to investigate the existence and uniqueness of solutions for fractional order Hadamard-type functional and neutral functional differential equations.

Keywords

• Fractional differential equation
• functional differential equation
• Hadamard fractional differential equation
• existence
• fixed point