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Existence Theory and Approximate Solution To Prey-Predator Coupled System Involving Nonsingular Kernel Type Derivative

dc.contributor.author Eiman
dc.contributor.author Shah, Kamal
dc.contributor.author Jarad, Fahd
dc.contributor.author Al-Mdallal, Qasem
dc.contributor.author Alqudah, Manar A.
dc.contributor.author Abdeljawad, Thabet
dc.date.accessioned 2022-04-22T08:38:41Z
dc.date.accessioned 2025-09-18T13:27:22Z
dc.date.available 2022-04-22T08:38:41Z
dc.date.available 2025-09-18T13:27:22Z
dc.date.issued 2020
dc.description Shah, Kamal/0000-0002-8851-4844; Abdeljawad, Thabet/0000-0002-8889-3768 en_US
dc.description.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. en_US
dc.description.sponsorship Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding Program en_US
dc.description.sponsorship This research was funded by the Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding Program. en_US
dc.identifier.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. en_US
dc.identifier.doi 10.1186/s13662-020-02970-w
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85091433403
dc.identifier.uri https://doi.org/10.1186/s13662-020-02970-w
dc.identifier.uri https://hdl.handle.net/20.500.12416/12917
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof Advances in Difference Equations
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Prey-Predator System en_US
dc.subject Existence Theory en_US
dc.subject Laplace Transform Coupled With Adomian Method en_US
dc.subject 26A33 en_US
dc.subject 34A07 en_US
dc.subject 93A30 en_US
dc.title Existence Theory and Approximate Solution To Prey-Predator Coupled System Involving Nonsingular Kernel Type Derivative en_US
dc.title Existence theory and approximate solution to prey–predator coupled system involving nonsingular kernel type derivative tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Shah, Kamal/0000-0002-8851-4844
gdc.author.id Abdeljawad, Thabet/0000-0002-8889-3768
gdc.author.scopusid 57211521778
gdc.author.scopusid 6508051762
gdc.author.scopusid 57216589853
gdc.author.scopusid 56708052700
gdc.author.scopusid 15622742900
gdc.author.scopusid 6504742215
gdc.author.wosid Alqudah, Manar/Aba-1904-2020
gdc.author.wosid Al-Mdallal, Qasem/Abe-5996-2020
gdc.author.wosid Jarad, Fahd/T-8333-2018
gdc.author.wosid Shah, Kamal/S-8662-2016
gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
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gdc.bip.impulseclass C4
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Alqudah, Manar A.] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Eiman; Shah, Kamal] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey; [Al-Mdallal, Qasem] UAE Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2020 en_US
gdc.description.woscitationindex Science Citation Index Expanded
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gdc.oaire.keywords Laplace transform
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Existence Results
gdc.oaire.keywords Invertible matrix
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Quantum mechanics
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Health Sciences
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gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Nonlinear Equations
gdc.oaire.keywords Biology
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Existence theory
gdc.oaire.keywords Ecology
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Physics
gdc.oaire.keywords Public Health, Environmental and Occupational Health
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Disease Transmission and Population Dynamics
gdc.oaire.keywords FOS: Biological sciences
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Prey–predator system
gdc.oaire.keywords Laplace transform coupled with Adomian method
gdc.oaire.keywords Kernel (algebra)
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Medicine
gdc.oaire.keywords Predator-Prey Interactions
gdc.oaire.keywords Type (biology)
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Nonlinear Systems
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords existence theory
gdc.oaire.keywords Adomian method
gdc.oaire.keywords prey-predator system
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords Population dynamics (general)
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gdc.opencitations.count 8
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gdc.publishedmonth 12
gdc.scopus.citedcount 12
gdc.virtual.author Jarad, Fahd
gdc.virtual.author Abdeljawad, Thabet
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