Exact Solutions for Fractional Differential-Difference Equations by an Extended Riccati Sub-ODE Method |
| |
Authors: | FENG Qing-Hua |
| |
Institution: | School of Science, Shandong University of Technology, Zibo 255049, China |
| |
Abstract: | In this paper, an extended Riccati sub-ODE method is proposed to establish new exact solutions for fractional differential-difference equations in the sense of modified Riemann-Liouville derivative. By a fractional complex transformation, a given fractional differential-difference equation can be turned into another differential-difference equation of integer order. The validity of the method is illustrated by applying it to solve the fractional Hybrid lattice equation and the fractional relativistic Toda lattice system. As a result, some new exact solutions including hyperbolic function solutions, trigonometric function solutions and rational solutions are established. |
| |
Keywords: | fractional differential-difference equations exact solutions Riccati sub-ODE method fractional complex transformation |
本文献已被 CNKI 等数据库收录! |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
|