Piecewise derivatives versus short memory concept: analysis and application

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dc.contributor.authorAtangana, Abdon
dc.contributor.authorAraz, Seda İğret
dc.date.accessioned2024-12-24T19:34:04Z
dc.date.available2024-12-24T19:34:04Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractWe have provided a detailed analysis to show the fundamental difference between the concept of short memory and piecewise differential and integral operators. While the concept of short memory leads to different long tails in different intervals of time or space as a result of a power law with different fractional orders, the concept of piecewise helps to depict crossover behaviors of different patterns. We presented some examples with different numerical simulations. In some cases piecewise models led to transitional behavior from deterministic to stochastic, this is indeed the reason why this concept was introduced.
dc.identifier.doi10.3934/mbe.2022399
dc.identifier.issn1547-1063
dc.identifier.issn1551-0018
dc.identifier.issue8
dc.identifier.pmid35801479
dc.identifier.scopus2-s2.0-85132236458
dc.identifier.scopusqualityQ1
dc.identifier.startpage8601
dc.identifier.urihttps://doi.org/10.3934/mbe.2022399
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8410
dc.identifier.volume19
dc.identifier.wosWOS:000831950600006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofMathematical Biosciences and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectPiecewise Calculus
dc.subjectShort Memory Concept
dc.subjectcrossover behaviors
dc.subjectchaos
dc.subjectepidemiology
dc.titlePiecewise derivatives versus short memory concept: analysis and application
dc.typeArticle

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