An Approach to Solve Gas Dynamic Equation by Fuzzy Hilfer Fractional Differential Equation

Authors

  • Vanitha K Department of Mathematics, School of Applied Sciences, REVA University, Bangalore, India
  • Saradha M Department of Mathematics, School of Applied Sciences, REVA University, Bangalore, India
  • Antline Nisha B Department of Mathematics, St. Joseph’s Institute of Technology, Chennai, Tamilnadu, India
  • Udhayakumar R Department of Mathematics, School of Advanced Science, Vellore Institute of Technology, Vellore, Tamilnadu, India https://orcid.org/0000-0002-7020-3466

DOI:

https://doi.org/10.37256/cm.5320245035

Keywords:

Fractional gas differential equation, Riemann-Liouville fractional derivative, Caputo fractional derivative, Hilfer fractional derivative, Adomian decomposition method

Abstract

In this work, Adomian decomposition method (ADM) based on Hilfer derivative is proposed to solve nonlinear fuzzy fractional gas dynamic equation. We reform the provided fractional gas dynamic equation into fuzzy Hilfer fractional differential equation. Subsequently with description of Hilfer fractional derivative and suitable initial conditions under fuzzy sense, we obtain approximate solution to the given problem. This method provides an analytical solution in the form of infinite power series. The behavior of the solution is illustrated using graphical representation. 

References

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Published

2024-07-30

Issue

Contemporary Mathematics, Volume 5 Issue 3 (2024), 2593-4131

Section

Research Article

License

Copyright (c) 2024 Vanitha K, Saradha M, Antline Nisha B, Udhayakumar R

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
An Approach to Solve Gas Dynamic Equation by Fuzzy Hilfer Fractional Differential Equation. Contemp. Math. [Internet]. 2024 Jul. 30 [cited 2025 Dec. 24];5(3):2709-23. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/5035