Method of separation of variables and exact solution of time fractional nonlinear partial differential and differential-difference equations

被引：4
作者：
Uma Maheswari, Chandrasekaran [1 ]
Sahadevan, Ramajayam [1 ]
Yogeshwaran, Munusamy [1 ]
机构：
[1] Univ Madras, Ramanujan Inst Adv Study Math, Chennai 600005, Tamil Nadu, India
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2023年 / 26卷 / 05期
关键词：
Separable variable method (primary); exact solution of nonlinear time fractional partial differential equation and differential-difference equations; LIE SYMMETRY ANALYSIS; DIFFUSION-EQUATIONS; CONVECTION; SUBSPACES;
D O I：
10.1007/s13540-023-00199-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we consider a certain class of time fractional nonlinear partial differential equations as well as partial differential-difference equations with two independent variables and with homogeneous nonlinear terms and derive their exact solutions using the method of separation of variables. More specifically, exact solutions to discrete time fractional Korteweg-de Vries (K-dV) equation, time fractional Toda-lattice equation, time fractional heat equation and time fractional nonlinear telegraph equation with variable coefficients have been derived. The analysis shows that the method of separation of variables provides an effective tool to derive exact solutions to a specific class of time fractional nonlinear differential equations with initial and boundary conditions.
引用
收藏
页码：2421 / 2438
页数：18
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