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On Fractional Integro-Differential Equation with Nonlinear Time Varying Delay

A. A. Soliman1, K. R. Raslan2, A. M. Abdallah3,*
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

Convergence; stability; fractional integro-differential equation

Cite This Article

Soliman, A. A., Raslan, K. R., Abdallah, A. M. (2022). On Fractional Integro-Differential Equation with Nonlinear Time Varying Delay. Sound & Vibration, 56(2), 147–163.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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