A New Numerical Solution for Prabhakar Fractional Differential Equations Using the Explicit Fractional Adams Method

Authors

  • Mohammad Abdel Aal The World Islamic Sciences and Education University
  • Mohammad S. Ghatasheh Middle East University Amman Jordan
  • Hussien Albadawi The World Islamic Sciences & Education University (W.I.S.E), Amman, Jordan
  • S. M. Momani Jordan University

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6631

Keywords:

Lagrange interpolation, Prabhakar fractional, Fractional Differential Equations, Adams Method

Abstract

This paper introduces a new way to solve Prabhakar fractional differential equations using an Explicit Fractional Adams Method. These equations are difficult to work with because they have several parameters. The new method, which combines the Explicit Fractional Adams Method with Lagrange interpolation, effectively tackles these difficulties. The paper also includes an analysis to show how well the method works. It provides several examples to demonstrate the method’s effectiveness and compares it with other existing methods. The results show that the proposed method is efficient and easy to use.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Differential Equations

License

Copyright (c) 2025 Mohammad Abdel Aal, Mohammad S. Ghatasheh, Hussien Albadawi, S. M. Momani

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How to Cite

A New Numerical Solution for Prabhakar Fractional Differential Equations Using the Explicit Fractional Adams Method. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6631. https://doi.org/10.29020/nybg.ejpam.v18i4.6631