A hybrid technique for approximating the solution of fractional order partial integro-differential equations

Authors

Ahmed K. Mohsin, Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, IraqFollow
Fajir A. Abdulkhaleq, Ministry of Education, Baghdad, Iraq
Osama H. Mohammed, Department of Mathematics and Computer Applications,College of Science, Al-Nahrain University, Jadriya, Baghdad, Iraq

Abstract

In this paper, we discuss the numerical solution of fractional order partial integro-differential equations. The type of fractional derivative used is a Caputo derivative. The method proposed in this paper known as transform optimal perturbation iteration method. This method combines the optimal perturbation iteration method and the Laplace transform in order to converge to the exact solution. The proposed method is highly efficient and provides the means of controlling the approximate solutions convergence. Illustrative examples prove that the suggested approach is very accurate when compared with the exact solution and the results of the existing methods.

Recommended Citation

Mohsin, Ahmed K.; Abdulkhaleq, Fajir A.; and Mohammed, Osama H. (2025) "A hybrid technique for approximating the solution of fractional order partial integro-differential equations," Iraqi Journal for Computer Science and Mathematics: Vol. 6: Iss. 2, Article 10.
DOI: https://doi.org/10.52866/2788-7421.1253
Available at: https://ijcsm.researchcommons.org/ijcsm/vol6/iss2/10