The use of improved-F expansion method for the time-fractional Benjamin-Ono equation

被引：38

作者：

Karaman, Bahar ^{[1
]}

机构：

[1] Eskisehir Tech Univ, Dept Math, TR-26470 Eskisehir, Turkey

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 03期

关键词：

Time-fractional Benjamin-Ono equation; Conformable derivative; Improved-F expansion method; Fractional complex transform; 26A33; 34K37; 34A08; EXACT MULTISOLITON SOLUTION; INTERNAL WAVES; SOLITARY WAVES; MODEL;

D O I：

10.1007/s13398-021-01072-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This study investigates new exact solutions of the time-fractional Benjamin-Ono equation by using the improved-F expansion method. Here, the time-fractional derivative is considered in terms of Conformable fractional derivative (CFD). At first, the fractional complex transform is used to convert the time-fractional Benjamin-Ono equation to an ordinary differential equation. Secondly, the proposed method has applied the given equation to construct exact solutions. Finally, all obtained analytical solutions are presented at the end of the paper.

引用

页数：7

共 21 条

[1] A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation [J].

Ali, Mohamed R. .

JOURNAL OF APPLIED MATHEMATICS, 2019, 2019

[2]

[Anonymous], 1974, The Fractional Calculus Theory and Applications of Differentiation and Integration to Arbitrary Order

[3] Dynamical behavior of non-autonomous fractional stochastic reaction-diffusion equations [J].

Bai, Qianqian ;

Shu, Ji ;

Li, Linyan ;

Li, Hui .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 485 (02)

[4] INTERNAL WAVES OF PERMANENT FORM IN FLUIDS OF GREAT DEPTH [J].

BENJAMIN, TB .

JOURNAL OF FLUID MECHANICS, 1967, 29 :559-&

[5] Analog fractional order controller in temperature and motor control applications [J].

Bohannan, Gary W. .

JOURNAL OF VIBRATION AND CONTROL, 2008, 14 (9-10) :1487-1498

[6] Uniqueness of solution for boundary value problems for fractional differential equations [J].

Cui, Yujun .

APPLIED MATHEMATICS LETTERS, 2016, 51 :48-54

[7] Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions [J].

Jumarie, Guy .

APPLIED MATHEMATICS LETTERS, 2009, 22 (03) :378-385

[8] ON THE EXACT SOLUTIONS AND CONSERVATION LAWS TO THE BENJAMIN-ONO EQUATION [J].

Kaplan, Melike ;

San, Sait ;

Bekir, Ahmet .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (01) :1-9

[9] EXACT MULTI-SOLITON SOLUTION OF THE BENJAMIN-ONO EQUATION [J].

MATSUNO, Y .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1979, 12 (04) :619-621

[10] THE CAUCHY PROBLEM FOR THE BENJAMIN-ONO EQUATION IN L2 REVISITED [J].

Molinet, Luc ;

Pilod, Didier .

ANALYSIS & PDE, 2012, 5 (02) :365-395

← 1 2 3 →