The Exact Solution of Time Fractional Drinfeld–Sokolov–Wilson System by Residual Power Series Method

Authors

  • Albatol Alfartas Department of Mathematics, Faculty of Sciences, University of Derna, Derna, Libya Author
  • Asma Agsaisib Department of Mathematics, Faculty of Sciences, University of Derna, Derna, Libya Author

DOI:

https://doi.org/10.58987/a1qmkc65

Keywords:

Residual power series, Drinfeld–Sokolov–Wilson, Fractional derivative

Abstract

In this investigation, a residual power series technique for the exact solution of system of time-fractional Drinfeld-Sokolov-Wilson is introduced. The main objective of this study is to solve the system of time-Fractional Drinfeld-Sokolov-Wilson by using residual power series method. The proposed technique obtains Taylor expansion of the solution of a system and reproduces the exact solution when the solution is polynomial. An example is given to apply the exact solution and demonstrate the efficiency, accuracy, and applicability of the presented technique. A residual power series (RPS) method as an alternative technique to obtain exact solution. The results reveal that the technique is very effective, straightforward, and simple

References

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[7] A. Abdalhafid, “Conformable Solution of Time-Fractional Drinfeld-Sokolov-Wilson System Using Residual Power Series Method” Master’s dissertation. Zarqa University, Jordan, 2017.

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Published

2024-09-30

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Articles

How to Cite

The Exact Solution of Time Fractional Drinfeld–Sokolov–Wilson System by Residual Power Series Method . (2024). Derna University Journal of Applied Sciences, 1(1), 24-33. https://doi.org/10.58987/a1qmkc65

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