Analytic solutions of the space-time conformable fractional Klein-Gordon equation in general form

被引：9
作者：
Culha, Sevil [1 ]
Dascioglu, Aysegul [2 ]
机构：
[1] Pamukkale Univ, Inst Sci, Denizli, Turkey
[2] Pamukkale Univ, Fac Sci & Arts, Dept Math, Denizli, Turkey
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2019年 / 29卷 / 04期
关键词：
ELLIPTIC FUNCTION EXPANSION; PERIODIC-WAVE SOLUTIONS; NUMERICAL-SOLUTION; SINE-GORDON;
D O I：
10.1080/17455030.2018.1473661
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Klein-Gordon equation plays an important role in mathematical physics. In this paper, a direct method which is very effective, simple, and convenient, is presented for solving the conformable fractional Klein-Gordon equation. Using this analytic method, the exact solutions of this equation are found in terms of the Jacobi elliptic functions. This method is applied to both time and space fractional equations. Some solutions are also illustrated by the graphics.
引用
收藏
页码：775 / 790
页数：16
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