Some result’s in the theory of fractional integral equations of Volterra-Fridlhom types

Abstract

The aim of this work is finding some result's in the existence, uniqueness and stability solutions of new fractional integral equations of Volterra Fridlhom types by using Picard approximation method. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Furthermore, the study leads us to improve and extend the above method and the study become more general and detailed than those introduced by Butris results.

Existence Solution for Nonlinear System of Fractional Integrodifferential Equations of Volterra Type with Fractional Boundary Conditions

“…Butris and Ishak [20], used both methods Picard approximation and Banach fixed point theorems for studying the existence and uniqueness solutions to the following fractional integral equations:…”