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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: email

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

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.

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APA Style
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. https://doi.org/10.32604/sv.2022.015882
Vancouver Style
Soliman AA, Raslan KR, Abdallah AM. On fractional integro-differential equation with nonlinear time varying delay. Sound Vib . 2022;56(2):147-163 https://doi.org/10.32604/sv.2022.015882
IEEE Style
A.A. Soliman, K.R. Raslan, and A.M. Abdallah "On Fractional Integro-Differential Equation with Nonlinear Time Varying Delay," Sound Vib. , vol. 56, no. 2, pp. 147-163. 2022. https://doi.org/10.32604/sv.2022.015882



cc 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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