Open Access

ARTICLE

On Fractional Integro-Differential Equation with Nonlinear Time Varying Delay

A. A. Soliman¹, K. R. Raslan², A. M. Abdallah^3,*

1 Department of Mathematics, Faculty of Science, Arish University, AL-Arish, Egypt
2 Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt
3 Basic Science Department, Higher Technological Institute, 10th of Ramadan City, Egypt

* Corresponding Author: A. M. Abdallah. Email:

Sound & Vibration 2022, 56(2), 147-163. https://doi.org/10.32604/sv.2022.015882

Received 21 January 2021; Accepted 09 December 2021; Issue published 25 March 2022

Abstract

In this manuscript, we analyze the solution for class of linear and nonlinear Caputo fractional Volterra Fredholm integro-differential equations with nonlinear time varying delay. Also, we demonstrate the stability analysis for these equations. Our paper provides a convergence of semi-analytical approximate method for these equations. It would be desirable to point out approximate results.

---

Keywords

---