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

Shao-Hong Yan; Xiao-Hong Chen; Gong-Nan Xie; Carlo Cattani; Xiao-Jun Yang

doi:10.1155/2014/396469

Abstract and Applied Analysis (Jan 2014)

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

Shao-Hong Yan,
Xiao-Hong Chen,
Gong-Nan Xie,
Carlo Cattani,
Xiao-Jun Yang

Affiliations

Shao-Hong Yan: College of Geophysics and Information Engineering, China University of Petroleum, Beijing 102249, China
Xiao-Hong Chen: College of Geophysics and Information Engineering, China University of Petroleum, Beijing 102249, China
Gong-Nan Xie: School of Mechanical Engineering, Northwestern Polytechnical University, Xi'an, Shaanxi 710048, China
Carlo Cattani: Department of Mathematics, University of Salerno, Via Ponte don Melillo, Fisciano, 84084 Salerno, Italy
Xiao-Jun Yang: Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

DOI: https://doi.org/10.1155/2014/396469
Journal volume & issue: Vol. 2014

Abstract

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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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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