Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 417, Issue -, Pages 141-149Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2014.09.043
Keywords
Time fractional Fokker-Planck (FP) equation; Lie symmetry analysis; Erdelyi-Kober fractional derivative; Riemann-Liouville derivative; Invariant solution
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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 Erdelyi-Kober fractional derivative which is depending on a parameter a, 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. (C) 2014 Elsevier B.V. All rights reserved.
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