An Approach to Solve Gas Dynamic Equation by Fuzzy Hilfer Fractional Differential Equation
DOI:
https://doi.org/10.37256/cm.5320245035Keywords:
Fractional gas differential equation, Riemann-Liouville fractional derivative, Caputo fractional derivative, Hilfer fractional derivative, Adomian decomposition methodAbstract
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.
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Published
2024-07-30
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1.
K V, M S, Nisha B A, R U. An Approach to Solve Gas Dynamic Equation by Fuzzy Hilfer Fractional Differential Equation. Contemp. Math. [Internet]. 2024 Jul. 30 [cited 2024 Oct. 16];5(3):2709-23. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5035
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Copyright (c) 2024 Vanitha K, Saradha M, Antline Nisha B, Udhayakumar R
This work is licensed under a Creative Commons Attribution 4.0 International License.