Abstract and Applied Analysis

Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method

Limei Yan

Full-text: Open access

Abstract

A relatively new iterative Laplace transform method, which combines two methods; the iterative method and the Laplace transform method, is applied to obtain the numerical solutions of fractional Fokker-Planck equations. The method gives numerical solutions in the form of convergent series with easily computable components, requiring no linearization or small perturbation. The numerical results show that the approach is easy to implement and straightforward when applied to space-time fractional Fokker-Planck equations. The method provides a promising tool for solving space-time fractional partial differential equations.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 465160, 7 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450245

Digital Object Identifier
doi:10.1155/2013/465160

Mathematical Reviews number (MathSciNet)
MR3139430

Zentralblatt MATH identifier
1291.65314

Citation

Yan, Limei. Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 465160, 7 pages. doi:10.1155/2013/465160. https://projecteuclid.org/euclid.aaa/1393450245


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