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

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2016

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Iop Publishing Ltd

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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

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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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OpenCitations Citation Count
31

Source

Communications in Theoretical Physics

Volume

65

Issue

1

Start Page

11

End Page

16
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CrossRef : 15

Scopus : 35

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35

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36

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1

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