Alqudah, Manar A.Abdeljawad, ThabetEimanShah, KamalJarad, FahdAl-Mdallal, Qasem2022-04-222022-04-222020Alqudah, Manar A...et al. (2020). "Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative", Advances in Difference Equations, Vol. 2020, No. 1.1687-1839http://hdl.handle.net/20.500.12416/5425This 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. © 2020, The Author(s).eninfo:eu-repo/semantics/openAccessExistence TheoryLaplace Transform Coupled With Adomian MethodPrey–Predator SystemArticle2020110.1186/s13662-020-02970-w