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An efficient numerical method for fractional model of allelopathic stimulatory phytoplankton species with mittag-leffler law

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dc.contributor.authorGhanbari, Behzad
dc.contributor.authorKumar, Devendra
dc.contributor.authorSingh, Jagdev
dc.contributor.institutionGhanbari, Behzad, Department of Engineering Science, Kermanshah University of Technology, Kermanshah, Iran, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.contributor.institutionKumar, Devendra, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, Department of Mathematics, University of Rajasthan, Jaipur, India
dc.contributor.institutionSingh, Jagdev, Department of Mathematics, Bahçeşehir Üniversitesi, Istanbul, Turkey, Department of Mathematics, JECRC University, Jaipur, India
dc.date.accessioned2025-10-05T15:29:46Z
dc.date.issued2021
dc.description.abstractThe principal aim of the present article is to study a mathematical pattern of interacting phytoplankton species. The considered model involves a fractional derivative which enjoys a nonlocal and nonsingular kernel. We first show that the problem has a solution, then the proof of the uniqueness is included by means of the fixed point theory. The numerical solution of the mathematical model is also obtained by employing an efficient numerical scheme. From numerical simulations, one can see that this is a very efficient method and provides precise and outstanding results. © 2021 Elsevier B.V., All rights reserved.
dc.identifier.doi10.3934/DCDSS.2020428
dc.identifier.endpage3587
dc.identifier.issn19371632
dc.identifier.issn19371179
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85110218669
dc.identifier.startpage3577
dc.identifier.urihttps://doi.org/10.3934/DCDSS.2020428
dc.identifier.urihttps://hdl.handle.net/20.500.14719/9444
dc.identifier.volume14
dc.language.isoen
dc.publisherAmerican Institute of Mathematical Sciences
dc.relation.oastatusAll Open Access
dc.relation.oastatusGold Open Access
dc.relation.sourceDiscrete and Continuous Dynamical Systems - Series S
dc.subject.authorkeywordsFixed-point Theorem
dc.subject.authorkeywordsFractional Derivative
dc.subject.authorkeywordsFractional Order Model
dc.subject.authorkeywordsNumerical Scheme
dc.subject.authorkeywordsPhytoplankton Species
dc.titleAn efficient numerical method for fractional model of allelopathic stimulatory phytoplankton species with mittag-leffler law
dc.typeArticle
dcterms.referencesAbbas, Syed, Dynamical Study of Fractional Model of Allelopathic Stimulatory Phytoplankton Species, Differential Equations and Dynamical Systems, 24, 3, pp. 267-280, (2016), Red Tides Biology Environmental Science and Toxicology, (1989), Arora, Charu, Dynamics of a High-Dimensional Stage-Structured Prey–Predator Model, International Journal of Applied and Computational Mathematics, 3, pp. 427-445, (2017), Atangana, Abdon, New fractional derivatives with non-local and non-singular kernel: Theory and application to heat transfer model, Thermal Science, 20, 2, pp. 763-769, (2016), Atangana, Abdon, New numerical method and application to Keller-Segel model with fractional order derivative, Chaos, Solitons and Fractals, 116, pp. 14-21, (2018), Atangana, Abdon, Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order, Chaos, Solitons and Fractals, 89, pp. 447-454, (2016), Baleanu, Dumitru I., A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator, Chaos, 29, 8, (2019), Baleanu, Dumitru I., A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel, Advances in Difference Equations, 2018, 1, (2018), Baleanu, Dumitru I., Collocation methods for fractional differential equations involving non-singular kernel, Chaos, Solitons and Fractals, 116, pp. 136-145, (2018), Batogna, Rodrigue Gnitchogna, Generalised class of time fractional black scholes equation and numerical analysis, Discrete and Continuous Dynamical Systems - Series S, 12, 3, pp. 435-445, (2019)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id35174751300
person.identifier.scopus-author-id57192576535
person.identifier.scopus-author-id55467157900

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