Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700
dc.authorwosidTofigh Allahviranloo / V-4843-2019en_US
dc.contributor.authorGhaffari, Manizheh
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorAbbasbandy, Saeid
dc.contributor.authorAzhini, Mahdi
dc.date.accessioned2022-02-08T06:58:52Z
dc.date.available2022-02-08T06:58:52Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized Hukuhara conformable fractional differentiability of the solution. To achieve this, the fuzzy conformable fractional derivative based on the generalized Hukuhara differentiability is defined, and several properties are brought on the topic, such as switching points and the fuzzy chain rule. After that, a new analytical method is applied to find the exact solutions for two famous mathematical equations: the fuzzy fractional wave equation and the fuzzy fractional diffusion equation. The present work is the first report in which the fuzzy traveling wave method is used to design an analytical method to solve these fuzzy problems. The final examples are asserted that our new method is applicable and efficient.en_US
dc.identifier.citationGhaffari, M., Allahviranloo, T., Abbasbandy, S. et al. Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations. Soft Comput (2022).en_US
dc.identifier.doi10.1007/s00500-021-06637-wen_US
dc.identifier.issn1432-7643en_US
dc.identifier.issn1433-7479en_US
dc.identifier.scopus2-s2.0-85123934555en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1007/s00500-021-06637-w
dc.identifier.urihttps://hdl.handle.net/20.500.12713/2481
dc.identifier.wosWOS:000749063000004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherSPRINGERen_US
dc.relation.ispartofSOFT COMPUTINGen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGeneralized Hukuhara Conformable Fractional Derivativeen_US
dc.subjectFuzzy Traveling Wave Solutionen_US
dc.subjectGeneralized Partial Hukuhara Differentiabilityen_US
dc.subjectThe Fuzzy Fractional Wave Equationen_US
dc.subjectThe Fuzzy Fractional Diffusion Equationen_US
dc.titleGeneralized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equationsen_US
dc.typeArticleen_US

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