Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method-Reference-Cited by-同舟云学术

Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yan Shao-Hong¹²,Chen Xiao-Hong¹,Xie Gong-Nan³,Cattani Carlo⁴,Yang Xiao-Jun⁵

Affiliation:

1. College of Geophysics and Information Engineering, China University of Petroleum, Beijing 102249, China

2. College of Science, Hebei United University, Tangshan 063000, China

3. School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi 710048, China

4. Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy

5. Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

Abstract

The local fractional decomposition method is applied to approximate the solutions for Fokker-Planck equations on Cantor sets with local fractional derivative. The obtained results give the present method that is very effective and simple for solving the differential equations on Cantor set.

Funder

National Scientific and Technological Support Projects

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/396469.pdf

Reference53 articles.

1. A Langevin approach for the microscopic dynamics of nonlinear Fokker–Planck equations

2. CHAOTIC UNIVERSE DYNAMICS USING A FOKKER-PLANCK EQUATION

3. Application of the Fokker-Planck equation to a stochastic fatigue crack growth model

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