Abstract
AbstractThis manuscript considers a nonlinear coupled system under nonsingular kernel type derivative. The considered problem is investigated from two aspects including existence theory and approximate analytical solution. For the concerned qualitative theory, some fixed point results are used. While for approximate solution, the Laplace transform coupled with Adomian method is applied. Finally, by a pertinent example of prey–predator system, we support our results. Some graphical presentations are given using Matlab.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference33 articles.
1. Naghipour, A., Manafian, J.: Application of the Laplace Adomian decomposition method and implicit methods for solving Burgers’ equations. TWMS J. Pure Appl. Math. 6(1), 68–77 (2015)
2. Thieme, H.R.: Convergence results and a Poincaré–Bendixson trichotomy for asymptotically autonomous differential equations. J. Math. Biol. 30(7), 755–763 (1992)
3. Biazar, J.: Solution of the epidemic model by Adomian decomposition method. Appl. Math. Comput. 173(2), 1101–1106 (2006)
4. Mathematics in Science and Engineering;I. Podlubny,1999
5. North Holland Mathematics Studies;A.A. Kilbas,2006
Cited by
9 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献