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

Authors : Ahmed HAMOUD, Abdulrahman SHARİF, Aishwary K. GHADLE, Kirtiwant GHADLE

Pages : 143-147

View : 13 | Download : 8

Publication Date : 2021-04-28

Article Type : Research Paper

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