Exact solutions of conformable time fractional Zoomeron equation via IBSEFM

被引：12

作者：

Demirbilek, Ulviye ^{[1
]}

Ala, Volkan ^{[1
]}

Mamedov, Khanlar R. ^{[2
]}

机构：

[1] Mersin Univ, Fac Sci & Letters, Dept Math, TR-33343 Mersin, Turkey

[2] Igdir Univ, Fac Sci & Letters, Dept Math, TR-76000 Igdir, Turkey

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2021年 / 36卷 / 04期

关键词：

conformable time-fractional derivative; zoomeron equation; IBSEFM; WAVE SOLUTIONS;

D O I：

10.1007/s11766-021-4145-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The nonlinear conformable time-fractional Zoomeron equation is an important model to describe the evolution of a single scalar field. In this paper, new exact solutions of conformable time-fractional Zoomeron equation are constructed using the Improved Bernoulli Sub-Equation Function Method (IBSEFM). According to the parameters, 3D and 2D figures of the solutions are plotted by the aid of Mathematics software. The results show that IBSEFM is an efficient mathematical tool to solve nonlinear conformable time-fractional equations arising in mathematical physics and nonlinear optics.

引用

页码：554 / 563

页数：10

共 38 条

[1] Abazari R., 2011, APPL MATH SCI, V5, P2943
[2] Solution of Nonlinear Space-Time Fractional Differential Equations Using the Fractional Riccati Expansion Method
Abdel-Salam, Emad A. -B.
Yousif, Eltayeb A.
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[3] On conformable fractional calculus
Abdeljawad, Thabet
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 279 : 57 - 66
[4] Auxiliary equation method for time-fractional differential equations with conformable derivative
Akbulut, Arzu
Kaplan, Melike
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (03) : 876 - 882
[5] [Ала Волкан Ala V.], 2021, [Вестник Южно-Уральского государственного университета. Серия: Математика. Механика. Физика, Bulletin of the South Ural State University. Series: Mathematics. Mechanics. Physics, Vestnik Yuzhno-Ural'skogo gosudarstvennogo universiteta. Seriya: Matematika. Mekhanika. Fizika], V13, P5, DOI 10.14529/mmph210301
[6] An application of improved Bernoulli sub-equation function method to the nonlinear conformable time-fractional equation
Ala, Volkan
Demirbilek, Ulviye
Mamedov, Khanlar R.
[J]. TBILISI MATHEMATICAL JOURNAL, 2021, 14 (03) : 59 - 70
[7] An application of improved Bernoulli sub-equation function method to the nonlinear conformable time-fractional SRLW equation
Ala, Volkan
Demirbilek, Ulviye
Mamedov, Khanlar R.
[J]. AIMS MATHEMATICS, 2020, 5 (04): : 3751 - 3761
[8] General Expa-function method for nonlinear evolution equations
Ali, Ahmad T.
Hassan, Ezzat R.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (02) : 451 - 459
[9] Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation
Marwan Alquran
Kamel Al-Khaled
[J]. Mathematical Sciences, 2012, 6 (1)
[10] New properties of conformable derivative
Atangana, Abdon
Baleanu, Dumitru
Alsaedi, Ahmed
[J]. OPEN MATHEMATICS, 2015, 13 : 889 - 898

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