Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative

被引：83

作者：

El-Ajou, Ahmad ^{[1
,2
]}

Oqielat, Moa'ath N. ^{[1
]}

Al-Zhour, Zeyad ^{[3
]}

Kumar, Sunil ^{[4
]}

Momani, Shaher ^{[5
,6
,7
]}

机构：

[1] Al Balqa Appl Univ, Fac Sci, Dept Math, Salt 19117, Jordan

[2] Taibah Univ, Fac Sci, Dept Math, Madina, Saudi Arabia

[3] ImamAbdulrahman Bin Faisal Univ, Coll Engn, Dept Basic Engn Sci, POB 1982, Dammam 31441, Saudi Arabia

[4] Natl Inst Technol, Dept Math, Jamshedpur 831014, Jharkhand, India

[5] Ajman Univ, Coll Humanities & Sci, Ajman, U Arab Emirates

[6] King Abdulaziz Univ, Fac Sci, Non Linear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia

[7] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

来源：

CHAOS | 2019年 / 29卷 / 09期

关键词：

PATTERN SOLUTIONS; EQUATIONS; ORDER; CONSTRUCTION; COMPACTONS; SOLITONS; KDV;

D O I：

10.1063/1.5100234

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations (PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed. Three types of TFND partial differential equations are considered in the sense of CFD, which are the TFND Boussinesq, TFND Klein-Gordon, and TFND B(2, 1, 1) PDEs. Solitary pattern solutions for this class of TFND partial differential equations based on the residual fractional power series method is constructed and discussed. Numerical and graphical results are also provided and conferred quantitatively to clarify the required solutions. The results suggest that the algorithm presented here offers solutions to problems in a rapidly convergent series leading to ideal solutions. Furthermore, the results obtained are like those in previous studies that used other types of fractional derivatives. In addition, the calculations used were much easier and shorter compared with other types of fractional derivatives.

引用

页数：12

共 64 条

[1] On conformable fractional calculus [J].