论文标题

分数概括性汉堡式捕词方程的谎言对称分析和明确的解决方案

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

论文作者

Selvaraj, Ramya, Swaminathan, V., Devi, A. Durga, Krishnakumar, K.

论文摘要

在本文中,我们研究了时间分数概括的汉堡犬(GBF)方程的谎言点对称性。在获得适当的对称性组合的同时,使用Erdelyi-kober差异操作员将时间分数偏微分方程转换为非线性分数普通微分方程(ODE)。此外,使用功率系列方法,我们获得了具有任意非线性的非线性分数GBF方程的精确解。

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.

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