Study of descriptor multi-fractional integro-differential order nonlinear system by homotopy perturbation method


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Authors

  • Alaa Mohsin Abed The General Directorate of Education in Diwaniyah, Diwaniyah, Iraq
  • Murtadha A. Kadhim Al-Furat Al-Awsat Technical University (ATU), 54003, Kufa, Iraq
  • Shaymaa Maki Kadham Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq

Keywords:

Homotopy perturbation method, descriptor, integro- differential, fractional order.

Abstract

In this paper we are discussing a nonlinear system that is descriptor, multi derived from the Caputoderived type as well as Riemann-Liouville fractional integral and has been relying on a system solution using a homotopy perturbation method method. In addition, three examples were given to illustrate the method of solving the system in order to compare the results obtained.

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Published

2026-02-02

How to Cite

Alaa Mohsin Abed, Murtadha A. Kadhim, & Shaymaa Maki Kadham. (2026). Study of descriptor multi-fractional integro-differential order nonlinear system by homotopy perturbation method. Results in Nonlinear Analysis, 8(4), 81–96. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/829