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On the Time Fractional Generalized Fisher Equation:Group Similarities and Analytical Solutions
Authors:M S Hashemi  D Baleanu
Institution: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:In this letter,the Lie point symmetries of the time fractional Fisher(TFF) equation have been derived using a systematic investigation.Using the obtained Lie point symmetries,TFF equation has been transformed into a different nonlinear fractional ordinary differential equations with the Erdélyi-Kober fractional derivative which depends on the parameter α.After that some invariant solutions of underlying equation are reported.
Keywords:Erdé  lyi-Kober derivative  time fractional Fisher equation  Lie point symmetry  
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