Analytical approach to solution fractional partial differential equation by optimal q-homotopy analysis method
R. Darzi1, B. Agheli2
1Islamic Azad University, Neka, Iran
2Islamic Azad University, Qaemshahr, Iran
Keywords: нелинейное дифференциальное уравнение в частных производных дробного порядка, метод оптимального q-гомотопного анализа, производная Капуто, nonlinear fractional partial differential equation, optimal q-homotopy analysis method, Caputo derivative
Abstract
The optimal q-homotopy analysis method is employed in order to solve partial differential equations (PDEs) featuring a time-fractional derivative. Then, in order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples are given. All numerical calculations in this manuscript have been carried out with Mathematica package.
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