Periodic Solution of Caputo-Fabrizio Fractional Integro–differential Equation with Periodic and Integral Boundary Conditions

In this paper, we study a new approach of investigation existence, uniqueness and stability the periodic solution nonlinear fractional integro-differential equation type Caputo-Fabrizio derivative with initial condition, boundary conditions, integral conditions by using successive approximations method Banach fixed point theorem. Finally, some examples are present to illustrate theorems.