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Fuzzy fractional estimates of Swift-Hohenberg model obtained using the Atangana-Baleanu fractional derivative operator

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dc.contributor.author Rashid, Saima
dc.contributor.author Sultana, Sobia
dc.contributor.author Kanwal, Bushra
dc.contributor.author Jarad, Fahd
dc.contributor.author Khalid, Aasma
dc.date.accessioned 2024-03-28T12:19:07Z
dc.date.available 2024-03-28T12:19:07Z
dc.date.issued 2022
dc.identifier.citation Rashid, Saima;...et.al. (2022). "Fuzzy fractional estimates of Swift-Hohenberg model obtained using the Atangana-Baleanu fractional derivative operator", AIMS Mathematics, Vol.7, No.9, pp.16067-16101. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7799
dc.description.abstract Swift-Hohenberg equations are frequently used to model the biological, physical and chemical processes that lead to pattern generation, and they can realistically represent the findings. This study evaluates the Elzaki Adomian decomposition method (EADM), which integrates a semi-analytical approach using a novel hybridized fuzzy integral transform and the Adomian decomposition method. Moreover, we employ this strategy to address the fractional-order Swift-Hohenberg model (SHM) assuming gH-differentiability by utilizing different initial requirements. The Elzaki transform is used to illustrate certain characteristics of the fuzzy Atangana-Baleanu operator in the Caputo framework. Furthermore, we determined the generic framework and analytical solutions by successfully testing cases in the series form of the systems under consideration. Using the synthesized strategy, we construct the approximate outcomes of the SHM with visualizations of the initial value issues by incorporating the fuzzy factor ϖ ∈ [0, 1] which encompasses the varying fractional values. Finally, the EADM is predicted to be effective and precise in generating the analytical results for dynamical fuzzy fractional partial differential equations that emerge in scientific disciplines. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022880 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Atangana-Baleanu Fractional Derivative tr_TR
dc.subject Elzaki Transform tr_TR
dc.subject Statistical İnference tr_TR
dc.subject Swift-Hohenberg Equation tr_TR
dc.title Fuzzy fractional estimates of Swift-Hohenberg model obtained using the Atangana-Baleanu fractional derivative operator tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 9 tr_TR
dc.identifier.startpage 16067 tr_TR
dc.identifier.endpage 16101 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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