Existence and Uniqueness Results of Hadamard Fractional Volterra-Fredholm Integro-Differential Equations

Abstract

In this paper, we establish some new conditions for the existence and uniqueness of solutions for a class of nonlinear Hadamard fractional Volterra-Fredholm integro-differential equations with initial conditions. The desired results are proved by using Arzela-Ascoli theorem aid of fixed point theorems due to Banach and Krasnoselskii in Banach spaces. 

Keywords

• Volterra-Fredholm integro differential equation
• Hadamard fractional derivative
• Fixed point method

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