Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative

Manar A. Alqudah, Thabet Abdeljawad, Eiman, Kamal Shah, Fahd Jarad, Qasem Al-Mdallal

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number520
JournalAdvances in Difference Equations
Volume2020
Issue number1
DOIs
Publication statusPublished - Dec 1 2020

Keywords

  • Existence theory
  • Laplace transform coupled with Adomian method
  • Prey–predator system

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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