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Mir Sajjad Hashemi

Mir Sajjad Hashemi

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex: 0/00
Faculty: Faculty of Basic Sciences
Address:
Phone: 04137745000-1641

Research

Title
Group analysis and exact solutions of the time fractional Fokker–Planck equation
Type
JournalPaper
Keywords
Time fractional Fokker–Planck (FP) equation, Lie symmetry, analysis, Erdélyi–Kober fractional derivative, Riemann–Liouville derivative, Invariant solution
Year
2015
Journal PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
DOI
Researchers Mir Sajjad Hashemi

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.