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A NEW APPLICATION OF ADOMIAN DECOMPOSITION METHOD FOR THE SOLUTION OF FRACTIONAL FOKKER-PLANCK EQUATION WITH INSULATED ENDS  

Ray, Santanu Saha (Department of Mathematics, National Institute of Technology)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1157-1169 More about this Journal
Abstract
This paper presents the analytical solution of the fractional Fokker-Planck equation by Adomian decomposition method. By using initial conditions, the explicit solution of the equation has been presented in the closed form and then the numerical solution has been represented graphically. Two different approaches have been presented in order to show the application of the present technique. The present method performs extremely well in terms of efficiency and simplicity.
Keywords
Riemann-Liouville Fractional Derivative; Fractional Order Diffusion Equation; Adomian Decomposition Method; Fourier sine series; finite Fourier sine transform;
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