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.

Downloads

Published

2022-01-31

How to Cite

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

Issue

Vol. 15 No. 1: (January 2022)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.