Existence and uniqueness of mild solution for mixed type of integro-differential equation

الملخص EN

In this paper, we study the existence and uniqueness of a mild solution of a nonlinear mixed Volterra – Fredholm integro-differential equation with nonlocal condition in Banach space.

Furthermore, we study continuouce dependence of mild solution.

Our analysis is based on semigroup theory and Banach fixed point theorem.