Group analysis and exact solutions of the time fractional Fokker–Planck equation

M.S. Hashemi

Physica A: Statistical Mechanics and its Applications, 2015, vol. 417, issue C, 141-149

Abstract: In this paper, the Lie symmetry analysis method is extended to deal with the nonlinear time fractional Fokker–Planck (FP) equation with Riemann–Liouville derivative. The Erdélyi–Kober fractional derivative which is depending on a parameter α, is used for the reduction of FP equation. Symmetry reduction is provided and some exact analytic solutions to the time fractional FP equation are investigated by virtue of the reduction method introduced by M.C. Nucci.

Keywords: Time fractional Fokker–Planck (FP) equation; Lie symmetry analysis; Erdélyi–Kober fractional derivative; Riemann–Liouville derivative; Invariant solution (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437114008103
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:417:y:2015:i:c:p:141-149

DOI: 10.1016/j.physa.2014.09.043

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().