Periodic Solution of Caputo-Fabrizio Fractional Integroâ€“differential Equation with Periodic and Integral Boundary Conditions
Keywords:Caputo- Fabrizio fractional derivative, periodic integral boundary conditions, Periodic solutions, successive approximation method, Banach fixed point theorem
In this paper, we study a new approach of investigation of existence, uniqueness and stability of the periodic solution of the nonlinear fractional integro-differential equation of type Caputo-Fabrizio fractional derivative with the initial condition, periodic boundary conditions, and integral boundary conditions by using successive approximations method and Banach fixed point theorem. Finally, some examples are present to illustrate the theorems.
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