An application of the Elzaki homotopy perturbation method for solving fractional Burger's equations

被引：0
作者：
Salman, Ali Thamir [1 ]
Jassim, Hassan Kamil [1 ]
Hassan, Nabeel Jawad [1 ]
机构：
[1] Univ Thi Qar, Dept Math, Nasiriyah, Iraq
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 02期
关键词：
Elzaki homotopy perturbation method; time-fractional Burger's equations; Caputo fractional derivative; VARIATIONAL ITERATION METHOD; DIFFERENTIAL-EQUATIONS; APPROXIMATE SOLUTIONS; NUMERICAL-SOLUTIONS; TRANSFORM;
D O I：
10.22075/ijnaa.2022.6226
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the solution of time-fractional Burgers and linked Burger's equations is obtained by using an effective analytical methodology termed the Elzaki homotopy perturbation method. Caputo sense is used to characterize the fractional derivatives. The recommended technique's answer is represented as a series that converges to the precise solution of the supplied issues. Furthermore, the outcomes of this strategy have revealed tight ties to the methods to the problems under investigation. The validity of the current strategy is demonstrated by illustrative instances.
引用
收藏
页码：21 / 30
页数：10
相关论文
共 42 条
[1]  
Al-Mazmumy M., 2015, NONLINEAR ANAL DIFFE, V3, P111, DOI 10.12988/nade.2015.41226
[2]   Exact Solution of Two-Dimensional Fractional Partial Differential Equations [J].
Baleanu, Dumitru ;
Jassim, Hassan Kamil .
FRACTAL AND FRACTIONAL, 2020, 4 (02) :1-9
[3]   Solving Helmholtz Equation with Local Fractional Derivative Operators [J].
Baleanu, Dumitru ;
Jassim, Hassan Kamil ;
Al Qurashi, Maysaa .
FRACTAL AND FRACTIONAL, 2019, 3 (03) :1-12
[4]   Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings [J].
Baleanu, Dumitru ;
Jassim, Hassan Kamil .
FRACTAL AND FRACTIONAL, 2019, 3 (02) :1-12
[5]   A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets [J].
Baleanu, Dumitru ;
Jassim, Hassan Kamil .
FRACTAL AND FRACTIONAL, 2019, 3 (02) :1-8
[6]   A MODIFICATION FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING NON-LINEAR GAS DYNAMIC AND COUPLED KdV EQUATIONS INVOLVING LOCAL FRACTIONAL OPERATORS [J].
Baleanu, Dumitru ;
Jassim, Hassan Kamil ;
Khan, Hasib .
THERMAL SCIENCE, 2018, 22 :S165-S175
[7]   Approximate analytical solutions of Goursat problem within local fractional operators [J].
Baleanu, Dumitru ;
Jassim, Hassan Kamil ;
Al Qurashi, Maysaa .
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06) :4829-4837
[8]   Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives [J].
Chen, Yong ;
An, Hong-Li .
APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) :87-95
[9]  
Eaued H. A., 2020, IOP C SERIES MAT SCI, V928, P1
[10]   ADOMIAN DECOMPOSITION METHOD FOR THREE-DIMENSIONAL DIFFUSION MODEL IN FRACTAL HEAT TRANSFER INVOLVING LOCAL FRACTIONAL DERIVATIVES [J].
Fan, Zhi-Ping ;
Jassim, Hassan Kamil ;
Raina, Ravinder Krishna ;
Yang, Xiao-Jun .
THERMAL SCIENCE, 2015, 19 :S137-S141
12345