Computational analysis of fuzzy fractional order non-dimensional Fisher equation

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dc.authoridUllah, Abd/0009-0003-0177-3224
dc.authoridAbdeljawad, Thabet/0000-0002-8889-3768
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorUllah, Abd
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdeljawad, Thabet
dc.date.accessioned2024-12-24T19:28:28Z
dc.date.available2024-12-24T19:28:28Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn recent decades, fuzzy differential equations of integer and arbitrary order are extensively used for analyzing the dynamics of a mathematical model of the physical process because crisp operators of integer and arbitrary order are not able to study the model being studied when there is uncertainty in values used in modeling. In this article, we have considered the time-fractional Fisher equation in a fuzzy environment. The basic aim of this article is to deduce a semi-analytical solution to the fuzzy fractional-order non-dimensional model of the Fisher equation. Since the Laplace-Adomian method has a good convergence rate. We use the Laplace- Adomian decomposition method (LADM) to determine a solution under a fuzzy concept in parametric form. We discuss the convergence and error analysis of the proposed method. For the validity of the proposed scheme, we provide few examples with detailed solutions. We provide comparisons between exact and approximate solutions through graphs. In the end, the conclusion of the paper is provided.
dc.identifier.doi10.1088/1402-4896/abface
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85106549013
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/1402-4896/abface
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7076
dc.identifier.volume96
dc.identifier.wosWOS:000655619600001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectCaputo fractional derivative
dc.subjectLaplace Adomian Decomposition Method (LADM)
dc.subjectFuzzy Fisher equation
dc.subjectsemi-analytical solution
dc.titleComputational analysis of fuzzy fractional order non-dimensional Fisher equation
dc.typeArticle

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