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Lie symmetry analysis and explicit solutions for the time fractional generalized Burgers-Fisher Equation

Authors :
Selvaraj, Ramya
Swaminathan, V.
Devi, A. Durga
Krishnakumar, K.
Publication Year :
2020

Abstract

In this article, we study the Lie point symmetries for the time fractional generalized Burgers-Fisher (GBF) equation. While getting an appropriate combination of symmetries, the time fractional partial differential equation has been transformed to nonlinear fractional ordinary differential equations (ODE) using Erdelyi-Kober differential operator. Furthermore, using power series method, we get the exact solution of the nonlinear fractional GBF equation with the arbitrary nonlinearity.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2003.05294
Document Type :
Working Paper