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

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Abstract

Abstract In this paper, the time fractional Kolmogorov-Petrovskii-Piskunov (TFKPP) equation is analyzed by means of Lie symmetry approach. The TFKPP 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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Author and article information

Journal

Journal ID (publisher-id): rmf

Title: Revista mexicana de física

Abbreviated Title: Rev. mex. fis.

Publisher: Sociedad Mexicana de Física (México, DF, Mexico )

ISSN (Print): 0035-001X

Publication date (Print and electronic): October 2019

Volume: 65

Issue: 5

Pages: 529-535

Affiliations

[3] Istanbul orgnameIstanbul Gelisim University orgdiv1Department of Computer Engineering Turkey

[2] Elazig orgnameFirat University orgdiv1Science Faculty orgdiv2Department of Mathematics Turkey

[1] orgnameUniversity of Bonab orgdiv1Basic Science Faculty orgdiv2Department of Mathematics Iran

Article

Publisher ID: S0035-001X2019000500529 Publisher ID: S0035-001X(19)06500500529

DOI: 10.31349/revmexfis.65.529

SO-VID: 3da91a70-7b18-49b0-8c76-8cf450d042f2

License:

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

History

Date accepted : 19 February 2019

Date received : 17 January 2019

Page count

Figures: 0, Tables: 0, Equations: 0, References: 28, Pages: 7

Product

SciELO Mexico

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