Exact Solutions For Fractional Differential Equations Arising in the Teaching of Mathematical Physical Equations By The Improved (G’/G) Method

  • Bin Zheng Shandong University of Technology
  • Qinghua Feng Shandong University of Technology
Keywords: Improved (G’/G) method, Fractional differential equations, Exact solutions, Fractional complex transformation, (2 1)-dimensional space-time fractional Nizhnik-Novikov-Veselov System

Abstract

In this paper, we are concerned with seeking exact solutions for space-time fractional
differential equations arising in the teaching of the college course mathematical physical equations.
The improved (G’/G) method is extended to seek exact solutions for fractional differential equations
in the sense of the conformable fractional derivative. Based on a fractional complex transformation,
a certain fractional differential equation can be converted into another ordinary differential equation
of integer order, and then can be solved subsequently based on the homogeneous balance principle.
As for applications of this method, we apply it to solve the (2+1)-dimensional space-time fractional
Nizhnik-Novikov-Veselov System, and as a result, construct some new exact solutions for it.

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Author Biographies

Bin Zheng, Shandong University of Technology

Shandong University of Technology
School of Mathematics and Statistics
Zhangzhou Road 12, Zibo, 255049, China

Qinghua Feng, Shandong University of Technology

Shandong University of Technology
School of Mathematics and Statistics
Zhangzhou Road 12, Zibo, 255049, China

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Published
2018-11-30