Analytical approach for space-time fractional Klein-Gordon equation

被引:19
|
作者
Unsal, Omer [1 ]
Guner, Ozkan [2 ]
Bekir, Ahmet [1 ]
机构
[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math & Comp Sci, Eskisehir, Turkey
[2] Cankiri Karatekin Univ, Fac Econ & Adm Sci, Dept Int Trade, Cankiri, Turkey
来源
OPTIK | 2017年 / 135卷
关键词
Exact solution; (G'/G)-expansion method; (w/g)-expansion method; The space-time fractional Klein-Gordon equation; Modified Riemann-Liouville derivative; 1ST INTEGRAL METHOD; TRAVELING-WAVE SOLUTIONS; (G'/G)-EXPANSION METHOD; DIFFERENTIAL-EQUATIONS; EVOLUTION;
D O I
10.1016/j.ijleo.2017.01.072
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
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. (C) 2017 Elsevier GmbH. All rights reserved.
引用
收藏
页码:337 / 345
页数:9
相关论文
共 50 条
  • [1] Analytical approximate solution for nonlinear space-time fractional Klein-Gordon equation
    Gepreel, Khaled A.
    Mohamed, Mohamed S.
    CHINESE PHYSICS B, 2013, 22 (01)
  • [2] Klein-Gordon equation in curved space-time
    Lehn, R. D.
    Chabysheva, S. S.
    Hiller, J. R.
    EUROPEAN JOURNAL OF PHYSICS, 2018, 39 (04)
  • [3] Analytical approximate solution for nonlinear space-time fractional Klein Gordon equation
    Khaled A. Gepreel
    Mohamed S. Mohameda
    Chinese Physics B, 2013, 22 (01) : 33 - 38
  • [4] Analytical solutions for the fractional Klein-Gordon equation
    Kheiri, Hosseni
    Shahi, Samane
    Mojaver, Aida
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2014, 2 (02): : 99 - 114
  • [5] Analytic solutions of the space-time conformable fractional Klein-Gordon equation in general form
    Culha, Sevil
    Dascioglu, Aysegul
    WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (04) : 775 - 790
  • [6] Space-time spectral collocation method for Klein-Gordon equation
    Zhang, Ping
    Li, Te
    Zhang, Yuan-Hao
    JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 2021, 15
  • [7] Stabilization of space-time statistical solutions of the Klein-Gordon equation
    Dudnikova, TV
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 1997, 5 (02) : 179 - 188
  • [8] SERIES SOLUTIONS FOR THE KLEIN-GORDON EQUATION IN SCHWARZSCHILD SPACE-TIME
    ELIZALDE, E
    PHYSICAL REVIEW D, 1987, 36 (04): : 1269 - 1272
  • [9] Analytical study of time-fractional order Klein-Gordon equation
    Tamsir, Mohammad
    Srivastava, Vineet K.
    ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (01) : 561 - 567
  • [10] Space-time fractional Klein-Gordon equation: Symmetry analysis, conservation laws and numerical approximations
    Mohammadizadeh, Fatemeh
    Rashidi, Saeede
    Hejazi, S. Reza
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 188 : 476 - 497