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

被引：0

作者：

Hashemi, M. S. ^{[1
]}

Inc, M. ^{[2
]}

Bayram, M. ^{[3
]}

机构：

[1] Univ Bonab, Basic Sci Fac, Dept Math, Bonab 55517, Iran

[2] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey

[3] Istanbul Gelisim Univ, Dept Comp Engn, Istanbul, Turkey

来源：

REVISTA MEXICANA DE FISICA | 2019年 / 65卷 / 05期

关键词：

Time fractional Kolmogorov-Petrovskii-Piskunov equation; Lie symmetry analysis; Erdelyi-Kober fractional derivative; Riemann-Liouville derivative; conformable fractional derivative; simplest equation method; BURGERS;

D O I：

10.31349/RevMexFis.65.529

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：529 / 535

页数：7

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