ANALYTICAL SOLUTIONS FOR TIME-FRACTIONAL RADHAKRISHNAN-KUNDU-LAKSHMANAN EQUATION

被引：4

作者：

Zhang, Jiqiang ^{[1
]}

Kadkhoda, Nematollah ^{[2
,3
]}

Baymani, Mojtaba ^{[3
]}

Jafari, Hossein ^{[4
,5
]}

机构：

[1] Anhui Sanlian Univ, Dept Basic Teaching, Hefei 230601, Peoples R China

[2] Bozorgmehr Univ Qaenat, Dept Math, Fac Basic Sci, Qaen, Iran

[3] Quchan Univ Technol, Dept Math, Quchan, Iran

[4] Univ South Africa, Dept Math Sci, ZA-0003 Unisa, South Africa

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 04期

关键词：

Exact Solution; Conformable Fractional Derivative; Fractional Differential Equations; Time-fractional Radhakrishnan-Kundu-Lakshmanan Equation; PERTURBATION;

D O I：

10.1142/S0218348X23400674

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, two algebraic methods are applied for solving a class of conformable fractional partial differential equations (FPDEs). We use these methods for the time-fractional Radhakrishnan-Kundu-Lakshmanan equation. With these methods, further solutions can be obtained compared with other approaches and techniques. The exact particular solutions include the exponential solution, trigonometric function solution, rational solution and hyperbolic function solution. These methods are very effective to obtain exact solutions of many fractional differential equations.

引用

页数：16

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