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Lie symmetry analysis and exact solutions of the time fractional gas dynamics equation

M.S. HASHEMI1,* , D. BALEANU2,3

Affiliation

  1. Department of Mathematics, Basic Science Faculty, University of Bonab, P.O. Box 55517-61167, Bonab, Iran
  2. Department of Mathematics, Çankaya University, Ogretmenler Caddesi 14, Balgat, 06530 Ankara, Turkey.
  3. Institute of Space Sciences, Magurele-Bucharest,Romania.

Abstract

Finding the symmetries of a given fractional differential equation is a hot topic in the field of fractional differentiation and its applications. In this manuscript, the Lie symmetries of the time fractional gas dynamics (TFGD) equation are analyzed and new exact solutions are obtained..

Keywords

Fractional gas dynamics equation, Lie symmetry method, Erdélyi-Kober fractional differential operator.

Submitted at: July 13, 2015
Accepted at: April 5, 2016

Citation

M.S. HASHEMI, D. BALEANU, Lie symmetry analysis and exact solutions of the time fractional gas dynamics equation, Journal of Optoelectronics and Advanced Materials Vol. 18, Iss. 3-4, pp. 383-388 (2016)