TY - JOUR
T1 - Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative
AU - Alqudah, Manar A.
AU - Abdeljawad, Thabet
AU - Eiman,
AU - Shah, Kamal
AU - Jarad, Fahd
AU - Al-Mdallal, Qasem
N1 - Publisher Copyright:
© 2020, The Author(s).
PY - 2020/12/1
Y1 - 2020/12/1
N2 - This 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.
AB - This 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.
KW - Existence theory
KW - Laplace transform coupled with Adomian method
KW - Prey–predator system
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U2 - 10.1186/s13662-020-02970-w
DO - 10.1186/s13662-020-02970-w
M3 - Article
AN - SCOPUS:85091433403
SN - 1687-1839
VL - 2020
JO - Advances in Difference Equations
JF - Advances in Difference Equations
IS - 1
M1 - 520
ER -