On the properties and applications of fuzzy analytic equations

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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.authorSabzi, Kh
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorAbbasbandy, Saeid
dc.date.accessioned2021-12-07T05:28:34Z
dc.date.available2021-12-07T05:28:34Z
dc.date.issued2021en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper presents the fuzzy power series method to solve the second-order differential equation under generalized Hukuhara differentiability with fuzzy and real coefficients. For this purpose, different types of fuzzy analytic functions by attention to generalized Hukuhara differentiability, ordinary and singular points are introduced. Since in the discussion of fuzzy power series, the concept of the fuzzy convergence radius is one of the most essential and fundamental concepts, the fuzzy convergence radius under the generalized division is defined. Fundamental theorems, such as fuzzy ratio tests, the convergence of the fuzzy geometric series, are expressed and proven. In addition, it has been shown that the fuzzy convergence radius of fuzzy power series does not change concerning derivatives under operators such as derivatives and integrals. It has been shown that the fuzzy analytic functions are still fuzzy analytic functions concerning derivatives under fuzzy operators, summation, multiplication, and generalized division. Then, the uniqueness of the solution of the second-order fuzzy differential equations with fuzzy and real coefficients in the form of a fuzzy power series by attention to the type of generalized differentiability is shown. Finally, there are examples to demonstrate the effectiveness of the method.en_US
dc.identifier.citationSabzi, K., Allahviranloo, T., & Abbasbandy, S. (2021). On the properties and applications of fuzzy analytic equations. Fuzzy Sets and Systems.en_US
dc.identifier.doi10.1016/j.fss.2021.11.008en_US
dc.identifier.issn0165-0114en_US
dc.identifier.scopus2-s2.0-85119964124en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.fss.2021.11.008
dc.identifier.urihttps://hdl.handle.net/20.500.12713/2310
dc.identifier.wosWOS:000832940000012en_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.subjectConvergence of The Fuzzy Geometric Seriesen_US
dc.subjectFuzzy Analytic Functionen_US
dc.subjectFuzzy Radius of Convergenceen_US
dc.subjectUniqueness of A Fuzzy Analytic Solutionen_US
dc.titleOn the properties and applications of fuzzy analytic equationsen_US
dc.typeArticleen_US

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