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

Authors

  • Ava Shafeeq Rafeeq University of Zakho

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4247

Keywords:

Caputo- Fabrizio fractional derivative, periodic integral boundary conditions, Periodic solutions, successive approximation method, Banach fixed point theorem

Abstract

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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Published

2022-01-31

Issue

Section

Nonlinear Analysis

How to Cite

Periodic Solution of Caputo-Fabrizio Fractional Integro–differential Equation with Periodic and Integral Boundary Conditions. (2022). European Journal of Pure and Applied Mathematics, 15(1), 144-157. https://doi.org/10.29020/nybg.ejpam.v15i1.4247