Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology

作     者：Ved Prakash Dubey Rajnesh Kumar Devendra Kumar 

作者机构：Faculty of Mathematical and Statistical Sciences Shri RamswaroopMemorial UniversityLucknow-Deva Road Barabanki 225003Uttar PradeshIndia Department of MathematicsUniversity of Rajasthan Jaipur 302004RajasthanIndia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2020年第13卷第2期

页      面：53-74页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Three-species food chain model homotopy analysis transform method Laplace transform fractional order FDEs 

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 *** 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 *** numerical solutions of this selected fractional-order food chain model are evaluated by making use of the associated initial *** 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 *** variations of fractional order of time derivative on the solutions for different specific cases have been depicted through graphical *** outcomes demonstrated through the graphs expound that the adopted scheme is very fantastic and accurate.