Homotopy analysis method for solving Atangana-Baleanu Caputo derivative with fractional order integro-differential equations

Authors

  • Mohammed Salam Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Batool I. Asker Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Jadriya, Baghdad, Iraq
  • Umneya M. M. Jawad Ibn Sina University of medical and pharmaceutical sciences, Baghdad, Iraq
  • Fadhel S. Fadhel Department of Mathematics and Computer Applications, College of Science, Al-Nahrain University, Jadriya, Baghdad, Iraq

DOI:

https://doi.org/10.19139/soic-2310-5070-4406

Keywords:

Fractional integro-differential, Atangana-Baleanu Caputo, Homotopy analysis method

Abstract

In this paper, we presented the homotopy analysis method, namely (HAM) for solving nonlinear fractional-order integro-differential equations with fractional derivatives of the Atangana-Baleanu Caputo sense. In this approach determines solutions as convergent power series, with components that are straightforward to compute. Some illustrative examples have been given to demonstrate the accuracy of the proposed method in solving such fractional-order integro-differential equations (FIDEs) and can be applied to other nonlinear problems.

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Published

2026-10-07

How to Cite

Salam, M., Batool, Umneya, & Fadhel. (2026). Homotopy analysis method for solving Atangana-Baleanu Caputo derivative with fractional order integro-differential equations. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-4406

Issue

Online First

Section

Research Articles

License

Copyright (c) 2026 Mohammed Salam, Batool I. Asker, Umneya M. M. Jawad, Fadhel S. Fadhel

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