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



Document title: Symmetry properties and exact solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equation
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000438887
ISSN: 0035-001X
Authors: 1
2
3
Institutions: 1University of Bonab, Basic Science Faculty, Bonab. Irán
2Firat University, Science Faculty, Elazig. Turquía
3Istanbul Gelisim University, Department of Computer Engineering, Istanbul. Turquía
Year:
Season: Sep-Oct
Volumen: 65
Number: 5
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English 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
Disciplines: Física y astronomía
Keyword: Física,
Ecuación de Kolmogorov-Petrovskii-Piskunov,
Análisis de simetría,
Derivada fraccional de Erdélyi-Kober,
Derivada de Riemann-Liouville,
Derivada fraccional conformable
Keyword: Método de ecuación más simple,
Physics,
Kolmogorov-Petrovskii-Piskunov equation,
Symmetry analysis,
Erdélyi-Kober fractional derivative,
Riemann-Liouville derivative,
Conformable fractional derivative,
Simplest equation method
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