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

[41] Asymptotic integration of some nonlinear differential equations with fractional time derivative
Baleanu, Dumitru
Agarwal, Ravi P.
Mustafa, Octavian G.
Cosulschi, Mirel
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (05)
[42] Exact solutions for some nonlinear fractional parabolic partial differential equations
El-Borai, Mahmoud M.
APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 150 - 153
[43] Bright and dark soliton solutions for some nonlinear fractional differential equations
Guner, Ozkan
Bekir, Ahmet
Chinese Physics B, 2016, 25 (03):
[44] Bright and dark soliton solutions for some nonlinear fractional differential equations
Ozkan Guner
Ahmet Bekir
Chinese Physics B, 2016, 25 (03) : 56 - 63
[45] Bright and dark soliton solutions for some nonlinear fractional differential equations
Guner, Ozkan
Bekir, Ahmet
CHINESE PHYSICS B, 2016, 25 (03)
[46] SOME EXISTENCE AND UNIQUENESS RESULTS FOR NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Marasi, H. R.
Afshari, H.
Zhai, C. B.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2017, 47 (02) : 571 - 585
[47] Solvability in Gevrey Classes of Some Nonlinear Fractional Functional Differential Equations
Zoubeir, Hicham
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 2020
[48] Existence of positive periodic solutions of some nonlinear fractional differential equations
Cabada, Alberto
Kisela, Tomas
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 50 : 51 - 67
[49] A new general algebraic method with symbolic computation and its application to two nonlinear differential equations
Li Desheng
Huang Ying
PROCEEDINGS OF 2009 INTERNATIONAL WORKSHOP ON INFORMATION SECURITY AND APPLICATION, 2009, : 512 - 515
[50] Symbolic Computation of Conservation Laws, Generalized Symmetries, and Recursion Operators for Nonlinear Differential Difference Equations
Goktas, Unal
Hereman, Willy
DYNAMICAL SYSTEMS AND METHODS, 2012, : 153 - 168

← 1 2 3 4 5 →