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摘要:
T'his research paper implements the fractional homotopy analysis transform technique to compute the approximate analytical solution of the nonlinear three-species food chain model with time-fractional derivatives.The offered technique is a fantastic blend of homotopy analysis method(HAM)and Laplace transform(LT)operator and has been used fruitfully in the numerical computation of various fractional differential equations(FDEs).This paper involves the fractional derivatives of Caputo style.The numerical solutions of this selected fractional-order food chain model are evaluated by making use of the associated initial conditions.It is revealed by the adopting procedure that the more desirable estimation of the solution can be easily acquired through the calculation of some number of iteration terms only-a fact which authenticates the easiness and soundness of the suggested hybrid scherne.The variations of fractional order of time derivative on the solutions for different specific cases have been depicted through graphical presentations.The outcomes demonstrated through the graphs expound that the adopted scheme is very fantastic and accurate.
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篇名 Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology
来源期刊 生物数学学报:英文版 学科 数学
关键词 Three-species food chain model homotopy analysis transform method Laplace transform fractional order FDEs
年,卷(期) 2020,(2) 所属期刊栏目
研究方向 页码范围 53-74
页数 22页 分类号 O17
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Three-species
food
chain
model
homotopy
analysis
transform
method
Laplace
transform
fractional
order
FDEs
研究起点
研究来源
研究分支
研究去脉
引文网络交叉学科
相关学者/机构
期刊影响力
生物数学学报:英文版
其它
1793-5245
Singapore596224,or 2
出版文献量(篇)
68
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0
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0
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