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• W1979631932 startingPage "1063" @default.
• W1979631932 abstract "Purpose In this article, the authors aim to present the homotopy analysis method (HAM) for obtaining the approximate solutions of space‐time fractional differential equations with initial conditions. Design/methodology/approach The series solution is developed and the recurrence relations are given explicitly. The initial approximation can be determined by imposing the initial conditions. Findings The comparison of the HAM results with the exact solutions is made; the results reveal that the HAM is very effective and simple. The HAM contains the auxiliary parameter h , which provides a simple way to adjust and control the convergence region of series solution. Numerical examples demonstrate the effect of changing homotopy auxiliary parameter h on the convergence of the approximate solution. Also, they illustrate the effect of the fractional derivative orders a and b on the solution behavior. Originality/value The idea can be used to find the numerical solutions of other fractional differential equations." @default.
• W1979631932 created "2016-06-24" @default.
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• W1979631932 date "2013-08-02" @default.
• W1979631932 modified "2023-09-24" @default.
• W1979631932 title "Homotopy analysis method for space‐time fractional differential equations" @default.
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• W1979631932 doi "https://doi.org/10.1108/hff-09-2011-0181" @default.
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