Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700en_US
dc.authorwosidTofigh Allahviranloo / V-4843-2019
dc.contributor.authorKeshavarz, Masoumeh
dc.contributor.authorQahremani E.
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2021-11-25T12:22:18Z
dc.date.available2021-11-25T12:22:18Z
dc.date.issued2021en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis study obtains a fuzzy solution to the mathematical model of a cancer tumor under Caputo-generalized Hukuhara partial differentiability by using fuzzy integral transforms. In order to solve the fuzzy partial fractional differential equations, the two-variable fuzzy Laplace—Carson transforms and the two-variable fuzzy Fourier transform under the generalized Hukuhara partial differentiability and Caputo-generalized Hukuhara partial differentiability are investigated. Following this, an algorithm for the proposed method is presented. Finally, as a practical model of fuzzy fractional diffusion equations, the fuzzy mathematical model of the net killing rate of cancer cells in tumors is investigated. This technique is powerful and essential for the development of a fuzzy analytical method for solving fuzzy partial fractional differential equations.en_US
dc.identifier.citationKeshavarz, M., Qahremani, E., & Allahviranloo, T. (2021). Solving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transforms. Fuzzy Sets and Systems.en_US
dc.identifier.doi10.1016/j.fss.2021.10.009en_US
dc.identifier.issn0165-0114en_US
dc.identifier.scopus2-s2.0-85119302470en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.fss.2021.10.009
dc.identifier.urihttps://hdl.handle.net/20.500.12713/2279
dc.identifier.wosWOS:000832940000010en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofFuzzy Sets and Systemsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo-Generalized Hukuhara Partial Differentiabilityen_US
dc.subjectFuzzy Fourier Transformen_US
dc.subjectFuzzy Fractional Diffusion Equationen_US
dc.subjectFuzzy Fractional Diffusion Mathematical Model of The Net Killing Rate of Cancer Cellsen_US
dc.subjectFuzzy Laplace–Carson Transformen_US
dc.titleSolving a fuzzy fractional diffusion model for cancer tumor by using fuzzy transformsen_US
dc.typeArticleen_US

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