SYMBOLIC COMPUTATION OF SOME NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Biswas, A. ^{[1
,2
]}

Bhrawy, A. H. ^{[2
,3
]}

Abdelkawy, M. A. ^{[3
]}

Alshaery, A. A. ^{[4
]}

Hilal, E. M. ^{[4
]}

机构：

[1] Delaware State Univ, Dept Math Sci, Dover, DE 19901 USA

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[3] Beni Suef Univ, Dept Math, Fac Sci, Bani Suwayf 62511, Egypt

[4] King Abdulaziz Univ, Fac Sci Girls, Dept Math, Jeddah 21589, Saudi Arabia

来源：

ROMANIAN JOURNAL OF PHYSICS | 2014年 / 59卷 / 5-6期

关键词：

G/G-expansion method; modified Riemann-Liouville fractional derivative; double sine-Poisson equation; double sinh-Poisson equation; Liouville equation; KADOMTSEV-PETVIASHVILI EQUATION; TRAVELING-WAVE SOLUTIONS; POWER-LAW NONLINEARITY; ELLIPTIC FUNCTION-METHOD; CHIRAL SOLITONS; KDV EQUATION; WATER WAVES; SINE-COSINE; TANH-COTH;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper studies a few fractional nonlinear equations from mathematical physics. The fractional derivatives are in the sense of modified Riemann-Liouville fractional derivative. The G/G-expansion method is applied to retrieve solutions to these equations. Several forms of solutions are obtained that are listed in this paper.

引用

页码：433 / 442

页数：10

共 50 条

[1] A novel method for nonlinear fractional differential equations using symbolic computation
Guner, Ozkan
Bekir, Ahmet
[J]. WAVES IN RANDOM AND COMPLEX MEDIA, 2017, 27 (01) : 163 - 170
[2] Symbolic computation of analytic approximate solutions for nonlinear fractional differential equations
Lin, Yezhi
Liu, Yinping
Li, Zhibin
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2013, 184 (01) : 130 - 141
[3] New exact solutions for some nonlinear differential equations using symbolic computation
Chen, Y
Zheng, XD
Li, B
Zhang, HQ
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (01) : 277 - 298
[4] Exact solutions of some systems of nonlinear partial differential equations using symbolic computation
Xie, FD
Li, M
Zhang, Y
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2002, 44 (5-6) : 711 - 716
[5] Application of Symbolic Computation in Nonlinear Differential-Difference Equations
Xie, Fuding
Wang, Zhen
Ji, Min
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
[6] FracSym: Automated symbolic computation of Lie symmetries of fractional differential equations
Jefferson, G. F.
Carminati, J.
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2014, 185 (01) : 430 - 441
[7] Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations
Zayed, E. M. E.
Gepreel, Khaled A.
El Horbaty, M. M.
[J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (01) : 436 - 452
[8] Semigroups and some nonlinear fractional differential equations
El-Borai, MM
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) : 823 - 831
[9] Symbolic computation of recursion operators for nonlinear differential-difference equations
Göktas¸, Ünal
Hereman, Willy
[J]. Mathematical and Computational Applications, 2011, 16 (01) : 1 - 12
[10] Some existence results on nonlinear fractional differential equations
Baleanu, Dumitru
Rezapour, Shahram
Mohammadi, Hakimeh
[J]. PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2013, 371 (1990):

← 1 2 3 4 5 →