Vol. 23 (2013): (NE-2) Cálculo fraccionario
Artículos de Investigación

Local fractional variational iteration method for Fokker-Planck equation on a Cantor set

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  • Xiao Jun Yang,
  • Dumitru Baleanu
Xiao Jun Yang
Institute of Software Science, Zhengzhou Normal University, Zhengzhou, China. 450044. P. R Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, China. 221008. Institute of Applied Mathematics, Qujing Normal University, Qujing, China.
Dumitru Baleanu
Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University. Ankara, Turkey. 06530. E-mail: dumitru@cankaya.edu.tr Institute of Space Sciences, Magurele, Bucharest, Romania. RO-077125. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box: 80204, Jeddah, Saudi Arabia. 21589.
DOI: https://doi.org/10.15174/au.2013.587

Published 2013-12-01

Keywords

  • Fokker-Planck equation,
  • local fractional variational iteration method,
  • fractional complex transform method.
  • Ecuación Fokker-Planck,
  • método iterativo fraccionado variacional local,
  • método fraccionado de transformación complejo.

How to Cite

Jun Yang, X., & Baleanu, D. (2013). Local fractional variational iteration method for Fokker-Planck equation on a Cantor set. Acta Universitaria, 23, 3–8. https://doi.org/10.15174/au.2013.587

Abstract

Recently the local fractional operators have started to be considered a useful tool to deal with fractal functions defined on Cantor sets. In this paper, we consider the Fokker-Planck equation on a Cantor set derived from the fractional complex transform method. Additionally, the solution obtained is considered by using the local fractional variational iteration method.

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