Analytical approach for space-time fractional Klein-Gordon equation

作者：Unsal Omer; Guner Ozkan^*; Bekir Ahmet

来源：Optik, 2017, 135: 337-345.

DOI：10.1016/j.ijleo.2017.01.072

• Exact solution
• (G'/G)-expansion method
• (w/g)-expansion method
• The space-time fractional Klein-Gordon equation
• Modified Riemann-Liouville derivative

In this work, we find exact solutions of space-time fractional Klein-Gordon equation including Jumarie's modified Riemann-Liouville derivative by using fractional complex transform, (G'/G) and (w/g)-expansion methods which is employed to solve fractional differential equations in mathematical physics and applied mathematics. As a result, two types of exact solutions are obtained. It is shown that the considered transform and method are very efficient and powerful in solving other kinds of nonlinear fractional differential equations.

• 出版日期2017