An effective analytical method for fractional Brusselator reaction-diffusion system

被引:11
|
作者
Nisar, Kottakkaran Sooppy [1 ,5 ]
Jagatheeshwari, R. [2 ]
Ravichandran, C. [3 ]
Veeresha, P. [4 ]
机构
[1] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj, Saudi Arabia
[2] Kumaraguru Coll Liberal Arts & Sci, Dept Math, Coimbatore, Tamil Nadu, India
[3] Kongunadu Arts & Sci Coll, Dept Math, Coimbatore, Tamilnadu, India
[4] CHRIST Deemed Univ, Ctr Math Needs, Dept Math, Bengaluru, India
[5] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj 11942, Saudi Arabia
关键词
applied mathematics; fractional derivative and integrals; reaction-diffusion equation; residual power series method; EQUATIONS; MODEL;
D O I
10.1002/mma.9589
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In recent years, reaction-diffusion models have attracted researchers for their wide applications. In this article, we consider Brusselator reaction-diffusion system (BRDS), which is known for its cross diffusion and pattern formations in biology and chemistry. We derive an analytical solution of the fractional Brusselator reaction-diffusion system (FBRDS) with the help of the initial condition by a novel method, residual power series method (RPSM). The system solution has been analyzed by graph.
引用
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页码:18749 / 18758
页数:10
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