ON CAPUTO-FABRIZIO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

ON CAPUTO-FABRIZIO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

M. A. Mohammed, R. G. Metkar

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Abstract

In this paper, we established some new results concerning the existence, uniqueness and stability results for a nonlinear Caputo-Fabrizio fractional periodic Volterra- Fredholm integro-differential equation with the initial condition and boundary conditions via successive approximations method and Banach fixed point theorem. Examples are included for the illustration of the obtained results.

Keywords

Volterra-Fredholm integro-differential equation, Caputo-Fabrizio approach, successive approximations approach, Banach contraction, fixed-point theorem.