Existence Theory and Approximate Solution To Prey-Predator Coupled System Involving Nonsingular Kernel Type Derivative
No Thumbnail Available
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Average
Popularity
Top 10%
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.
Description
Shah, Kamal/0000-0002-8851-4844; Abdeljawad, Thabet/0000-0002-8889-3768
Keywords
Prey-Predator System, Existence Theory, Laplace Transform Coupled With Adomian Method, 26A33, 34A07, 93A30, Laplace transform, Theory and Applications of Fractional Differential Equations, Existence Results, Invertible matrix, Mathematical analysis, Quantum mechanics, Differential equation, Health Sciences, QA1-939, FOS: Mathematics, Nonlinear Equations, Biology, Anomalous Diffusion Modeling and Analysis, Existence theory, Ecology, Applied Mathematics, Physics, Public Health, Environmental and Occupational Health, Pure mathematics, Applied mathematics, Modeling and Simulation, Disease Transmission and Population Dynamics, FOS: Biological sciences, Physical Sciences, Prey–predator system, Laplace transform coupled with Adomian method, Kernel (algebra), Nonlinear system, Medicine, Predator-Prey Interactions, Type (biology), Mathematics, Nonlinear Systems, Ordinary differential equation, existence theory, Adomian method, prey-predator system, Fractional derivatives and integrals, Population dynamics (general)
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0103 physical sciences
Citation
Alqudah, 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.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
8
Source
Advances in Difference Equations
Volume
2020
Issue
1
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 1
Scopus : 12
Captures
Mendeley Readers : 2
SCOPUS™ Citations
12
checked on Feb 03, 2026
Web of Science™ Citations
9
checked on Feb 03, 2026
Page Views
4
checked on Feb 03, 2026
Google Scholar™
