Approximate Analytic Solution of The Fractional Rosenau -Hyman Equation Using Fractional Power Series Method

Authors

  • G.M.A. Marai Department of Mathematics,Faculty of Science,Benghazi University,Benghazi ,Libya Author
  • N.A.H.Muktar Department of Mathematics,Faculty of Science,Benghazi University,Benghazi ,Libya Author

DOI:

https://doi.org/10.65405/z4ks0f53

Keywords:

fractional power series: Caputo fractional derivative: The Fractional Rosenau-Hyman Equation

Abstract

In this study, fractional Rosenau-Hynam equations is considered. We implement analytical technique, the for solving this equation using Fractional power series method. The fractional derivatives are described in the Caputo sense. The method in applied mathematics can be used as alternative method for obtaining analytic and approximate solutions for fractional Rosenau-Hynam equations. the solution takes the form of a series with easily computable components. The present method performs well in terms of efficiency and simplicity, which is one of the useful and the results reveal that the method is very effective and simple.

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References

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Published

2026-09-04

How to Cite

Approximate Analytic Solution of The Fractional Rosenau -Hyman Equation Using Fractional Power Series Method. (2026). Al-Farooq Journal of Sciences, 2(4), 148-153. https://doi.org/10.65405/z4ks0f53