An analytical study of Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy fourier transform under generalized Hukuhara Caputo fractional differentiability

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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.accessioned2024-05-19T14:41:49Z
dc.date.available2024-05-19T14:41:49Z
dc.date.issued2024
dc.departmentİstinye Üniversitesien_US
dc.description.abstractPythagorean fuzzy fractional calculus provides a strong framework for modeling and analyzing complicated systems with uncertainty and indeterminacy. The primary focus of this article is to investigate the analytical solution of the Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy Fourier transform under generalized Hukuhara Caputo fractional differentiability. To this end, we first establish generalized Hukuhara Caputo fractional differentiability in the context of multivariate Pythagorean fuzzy-valued functions and then we present some results of multivariate Pythagorean generalized Hukuhara Caputo fractional differentiability and generalized Hukuhara integrability. We present the concept of multivariate Pythagorean fuzzy Fourier transform and give some results for Pythagorean fuzzy Fourier transforms of second-order generalized Hukuhara partial differentiability. Finally, we provide a practical application of the Pythagorean fuzzy fractional wave equation to visco-elastic materials including polymers and biological tissues. Their graphs are analyzed to visualize and support the theoretical findings.en_US
dc.identifier.doi10.1007/s41066-023-00440-8
dc.identifier.issn2364-4966
dc.identifier.issn2364-4974
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85181400791en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org10.1007/s41066-023-00440-8
dc.identifier.urihttps://hdl.handle.net/20.500.12713/5164
dc.identifier.volume9en_US
dc.identifier.wosWOS:001136345500001en_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 Differentiabilityen_US
dc.subjectGeneralized Hukuhara Caputo Fractional Differentiabilityen_US
dc.subjectMultivariate Pythagorean Fuzzy Functionen_US
dc.subjectWave Equationen_US
dc.subjectFourier Transformen_US
dc.titleAn analytical study of Pythagorean fuzzy fractional wave equation using multivariate Pythagorean fuzzy fourier transform under generalized Hukuhara Caputo fractional differentiabilityen_US
dc.typeArticleen_US

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