Power Series Algorithm for Solving Linear Fractional Partial Differential Equations

Authors

  • Rania Saadeh Department of Applied Science, Ajlun University College, Al-Balqa Applied University, Jordan
  • Nesreen M. Al-Olaimat Department of Applied Science, Ajlun University College, Al-Balqa Applied University, Jordan
  • Mohammed Alhawamedh Department of Mathematics, Faculty of Science, Zarqa University, Zarqa 13110, Jordan
  • Mohamed Hafez Faculty of Engineering FEQS, INTI-IU University, Malaysia; Faculty of Management, Shinawatra University, Thailand

DOI:

https://doi.org/10.19139/soic-2310-5070-3320

Keywords:

Fractional cancer tumor models, Aboodh residual power series technique, ; fractional Caputo derivative, numerical series solution

Abstract

A class of linear fractional partial differential equations with variable coefficients and their applications to tumor dynamics and thermal equations are considered in this study. Analytical solutions are obtained by applying the Aboodh residual power series (ARPS) approach, which proves to be simple and efficient in generating analytical solutions in the form of series, even for equations with non-constant coefficients. Symbolic computations are implemented in Mathematica, and all graphical illustrations are presented in Python, clearly demonstrating the convergence of solutions. This demonstrates that ARPS technique is an efficient and therefore reliable method for fractional partial differential models, offering broad potential applications in mathematical physics and biomedical engineering, including modeling cancer evolution, immune system behavior, and drug delivery systems.

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Published

2026-10-01

How to Cite

Saadeh, R., M. Al-Olaimat, N., Alhawamedh, M., & Hafez, M. (2026). Power Series Algorithm for Solving Linear Fractional Partial Differential Equations. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3320

Issue

Online First

Section

Research Articles

License

Copyright (c) 2026 Rania Saadeh, Nesreen M. Al-Olaimat, Mohammed Alhawamedh, Mohamed Hafez

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