Solution of the Pythagorean fuzzy wave equation with Pythagorean fuzzy Fourier sine transform

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dc.authoridAkram, Muhammad/0000-0001-7217-7962
dc.authoridAllahviranloo, Tofigh/0000-0002-6673-3560
dc.authorwosidYousuf, Muhammad/KHT-6804-2024
dc.authorwosidAkram, Muhammad/N-3369-2014
dc.authorwosidAllahviranloo, Tofigh/V-4843-2019
dc.contributor.authorAkram, Muhammad
dc.contributor.authorYousuf, Muhammad
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2024-05-19T14:41:50Z
dc.date.available2024-05-19T14:41:50Z
dc.date.issued2023
dc.departmentİstinye Üniversitesien_US
dc.description.abstractThe main objective of this research article is to study the analytical solution of the Pythagorean fuzzy wave equation under the generalized Hukuhara partial differentiability using the Pythagorean fuzzy Fourier sine transform. Some concepts of multivariate Pythagorean fuzzy-valued functions and their gH-partial differentiability along with integrability are given. The notions of Pythagorean fuzzy Fourier sine transform and Pythagorean fuzzy Fourier inverse sine transform are introduced along with some fundamental properties. Furthermore, a new Pythagorean fuzzy wave equation model is developed under gH-differentiability using the Pythagorean fuzzy Fourier sine transform. Some numerical examples are solved with the proposed method and their solutions are displayed graphically to verify and support theoretical results. A practical application of the Pythagorean fuzzy wave equation to magnetic resonance imaging is also described.en_US
dc.identifier.doi10.1007/s41066-023-00400-2
dc.identifier.endpage1171en_US
dc.identifier.issn2364-4966
dc.identifier.issn2364-4974
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85165238906en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1149en_US
dc.identifier.urihttps://doi.org10.1007/s41066-023-00400-2
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5165
dc.identifier.volume8en_US
dc.identifier.wosWOS:001032745000001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringernatureen_US
dc.relation.ispartofGranular Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmz20240519_kaen_US
dc.subjectGeneralized Hukuhara-Partial Differentiabilityen_US
dc.subjectPythagorean Fuzzy Multivariate Functionen_US
dc.subjectWave Equationen_US
dc.subjectMultivariate Fourier Sine Transformen_US
dc.titleSolution of the Pythagorean fuzzy wave equation with Pythagorean fuzzy Fourier sine transformen_US
dc.typeReview Articleen_US

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