On the Time Fractional Generalized Fisher Equation: Group Similarities and Analytical Solutions

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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 Erdelyi-Kober fractional derivative which depends on the parameter a. After that some invariant solutions of underlying equation are reported.

Description

Hashemi, Mir Sajjad/0000-0002-5529-3125

Keywords

Erdelyi Kober Derivative, Time Fractional Fisher Equation, Lie Point Symmetry, Erdélyi-Kober Derivative, Erdélyi-Kober derivative, time fractional Fisher equation, Lie point symmetry, Methods of ordinary differential equations applied to PDEs, Fractional partial differential equations, Symmetries, invariants, etc. in context of PDEs

Fields of Science

0103 physical sciences, 01 natural sciences

Citation

Hashemi, M. S.; Baleanu, D., "On the Time Fractional Generalized Fisher Equation: Group Similarities and Analytical Solutions", Communications in Theoretical Physics, Vol. 65, No. 1, pp. 11-16, (2016).

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31

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65

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1

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11

End Page

16
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Scopus : 35

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