Series-form solutions of generalized fractional-fisher models with uncertainties using hybrid approach in Caputo sense

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dc.authoridSaeed, Dr. Syed Tauseef/0000-0002-0971-8364
dc.authoridQayyum, Mubashir/0000-0002-6701-5640
dc.authoridSaeed, Syed Tauseef/0009-0001-4221-052X
dc.contributor.authorQayyum, Mubashir
dc.contributor.authorTahir, Aneeza
dc.contributor.authorSaeed, Syed Tauseef
dc.contributor.authorAkguel, Ali
dc.date.accessioned2024-12-24T19:25:28Z
dc.date.available2024-12-24T19:25:28Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe field of fuzzy calculus has emerged as a powerful mathematical tool which can effectively deal with uncertainties and impressions that are common in real-world situations. In particular, it has proven useful in modeling and analysis of complex biological systems with uncertain parameters. The current study focuses on analysis of (?????? + 1) -dimensional fractional Fisher equations (FFEs) in fuzzy environment. The objective is to provide semi-analytical solutions for fuzzy (?????? + 1)-dimensional FFEs by considering Caputo-gH fractional derivative. The uncertainty in initial conditions is injected through triangular fuzzy numbers and obtained fuzzy (?????? + 1) -dimensional FFEs are solved using hybrid of homotopy perturbation with Laplace transform in fuzzy-Caputo sense, which provides a powerful mathematical framework for examining complex behavior. The derived series solutions are validated against existing results from the literature and found to be improved. The obtained results are analyzed by means of determining the fuzzy solutions and residual errors at varying fractional orders, membership function, spatial coordinate ??????, and time ??????. These analytical findings are visualized in graphical form for ease of comprehension. The conducted study yields significant insights about the behavior of fractional model having uncertain conditions, and highlights the efficiency of proposed methodology. The results of this study have important implications for understanding the dynamics of biological systems with uncertainty, and hence can be useful in wide variety of applications in different fields such as ecology, epidemiology, and economics.
dc.identifier.doi10.1016/j.chaos.2023.113502
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85159056638
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2023.113502
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6424
dc.identifier.volume172
dc.identifier.wosWOS:001054046000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectTriangular fuzzy number
dc.subjectCaputo-gH fractional derivative
dc.subjectSeries solutions
dc.subjectHomotopy perturbation
dc.subjectLaplace transform
dc.subjectFisher equation
dc.titleSeries-form solutions of generalized fractional-fisher models with uncertainties using hybrid approach in Caputo sense
dc.typeArticle

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