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

Year 2021, Volume: 9 Issue: 1 , 143 - 147 , 28.04.2021

Ahmed Hamoud , Abdulrahman Sharif Aishwary K. Ghadle Kirtiwant Ghadle

https://izlik.org/JA77FD65DF

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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