A new fractional analysis on the polluted lakes system

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dc.contributor.authorBİLDİK N.
dc.contributor.authorDENİZ S.
dc.date.accessioned2024-07-22T08:08:46Z
dc.date.available2024-07-22T08:08:46Z
dc.date.issued2019
dc.description.abstractIn this paper, we use Atangana–Baleanu derivative which is defined with the Mittag–Leffler function and has all the properties of a classical fractional derivative for solving the system of fractional differential equations. The classical model of polluted lakes system is modified by using the concept of fractional differentiation with nonsingular and nonlocal fading memory. The new numerical scheme recommended by Toufik and Atangana is used to analyze the modified model of polluted lakes system. Some numerical illustrations are presented to show the effect of the new fractional differentiation. © 2019 Elsevier Ltd
dc.identifier.DOI-ID10.1016/j.chaos.2019.02.001
dc.identifier.issn09600779
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/14531
dc.language.isoEnglish
dc.publisherElsevier Ltd
dc.subjectDifferential equations
dc.subjectLakes
dc.subjectWater pollution
dc.subjectClassical model
dc.subjectFading memory
dc.subjectFractional derivatives
dc.subjectFractional differential equations
dc.subjectFractional differentiation
dc.subjectModified model
dc.subjectNonsingular
dc.subjectNumerical scheme
dc.subjectLake pollution
dc.titleA new fractional analysis on the polluted lakes system
dc.typeReview

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