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3 International Journal of Applied Mechanics and Engineering

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Analytical solution of the time fractional Fokker-Planck equation

Sutradhar T., Datta B. K., Bera R. K.

International Journal of Applied Mechanics and Engineering

2014

Vol. 19, no. 2

435--440

A nonperturbative approximate analytic solution is derived for the time fractional Fokker-Planck (F-P) equation by using Adomian’s Decomposition Method (ADM). The solution is expressed in terms of Mittag-Leffler function. The present method performs extremely well in terms of accuracy, efficiency and simplicity.

Nonperturbative analytical solution of the time fractional advection problem

Sutradhar T., Datta B. K., Bera R. K.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 2

629-636

A nonperturbative analytic solution is derived for the time fractional nonlinear advection problem by using Adomian's Decomposition Method (ADM). The solution is obtained in the form of a power series with easily computable coefficients. The present method performs extremely well in terms of accuracy, efficiency and simplicity.

Analytic solution of time fractional nonlinear dynamic system by modified decomposition method

Sutradhar T., Datta B. K., Bera R. K.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 4

1327-1337

Analytical and numerical results are reported for an analytical approximate solution of a nonlinear dynamic system containing fractional derivative by a modified decomposition method. Comparison with the exact and numerical solution shows that the present method performs extremely well in terms of accuracy, efficiency and simplicity.