Symmetry properties and exact solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equation

Authors

  • M. S. Hashemi Firat University
  • M. Inc Bonab University
  • M. Bayram Istanbul Gelisim University

DOI:

https://doi.org/10.31349/RevMexFis.65.529

Keywords:

Time fractional Kolmogorov-Petrovskii-Piskunov (TFKPP) equation, Lie symmetry analysis, Erd´elyiKober fractional derivative, Riemann-Liouville derivative, conformable fractional derivative, simplest equation method

Abstract

In this paper, the time fractional Kolmogorov-Petrovskii-Piskunov (FKP) equation is analyzed by means of Lie symmetry approach. The FKP is reduced to ordinary differential equation of fractional order via the attained point symmetries. Moreover, the simplest equation method is used in construct the exact solutions of underlying equation with recently introduced conformable fractional derivative.

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Published

2019-09-02

How to Cite

[1]
M. S. Hashemi, M. Inc, and M. Bayram, “Symmetry properties and exact solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equation”, Rev. Mex. Fís., vol. 65, no. 5 Sept-Oct, pp. 529–535, Sep. 2019.

Issue

Vol. 65 No. 5 Sept-Oct (2019): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.