Solution of initial-value problem for linear third-order fuzzy differential equations

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authoridWitold Pedrycz / 0000-0002-9335-9930en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700en_US
dc.authorscopusidWitold Pedrycz / 56854903200en_US
dc.authorwosidTofigh Allahviranloo / V-4843-2019en_US
dc.authorwosidWitold Pedrycz / FPE-7309-2022en_US
dc.contributor.authorMuhammad, Ghulam
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorPedrycz, Witold
dc.date.accessioned2022-12-12T05:36:49Z
dc.date.available2022-12-12T05:36:49Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Yazılım Mühendisliği Bölümüen_US
dc.description.abstractEvery real-world physical problem is inherently based on uncertainty. It is essential to model the uncertainty then solve, analyze and interpret the result one encounters in the world of vagueness. Generally, science and engineering problems are governed by differential equations. But the parameters, variables and initial conditions involved in the system contain uncertainty due to the lack of information in measurement, observations and experiment. However, It is necessary to develop a comprehensive approach for solving differential equations in an uncertain environment. The purpose of this work is to study and investigate the fuzzy solution of linear third-order fuzzy differential equations using the concept of strongly generalized Hukuhara differentiability (SGHD). To make our analysis possible, we apply the first and second differentiability up to the third-order fuzzy derivative of the fuzzy-valued function. Moreover, we develop an important result concerning the relationship between Laplace transform of fuzzy-valued function and third-order derivative. We construct an algorithm to determine a potential solution of linear third-order fuzzy initial-value problem using the Laplace transform technique. All these solutions are represented in terms of the Mittag-Leffler function involving a single series. Furthermore, we discuss the switching points of linear third-order differential equations and their corresponding solutions in fuzzy environments. To enhance the novelty of the proposed technique, some illustrative examples are presented as applications are analyzed to visualize and support theoretical results.en_US
dc.identifier.citationAkram, M., Muhammad, G., Allahviranloo, T., & Pedrycz, W. (2022). Solution of initial-value problem for linear third-order fuzzy differential equations. Computational and Applied Mathematics, 41(8), 1-31.en_US
dc.identifier.doi10.1007/s40314-022-02111-xen_US
dc.identifier.issn2238-3603en_US
dc.identifier.issn1807-0302en_US
dc.identifier.issue8en_US
dc.identifier.scopus2-s2.0-85142236732en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s40314-022-02111-x
dc.identifier.urihttps://hdl.handle.net/20.500.12713/3461
dc.identifier.volume41en_US
dc.identifier.wosWOS:000885306500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.institutionauthorPedrycz, Witold
dc.language.isoenen_US
dc.publisherSPRINGER HEIDELBERGen_US
dc.relation.ispartofCOMPUTATIONAL & APPLIED MATHEMATICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSwitching Pointsen_US
dc.subjectFuzzy Initial-Value Problemen_US
dc.subjectStrongly Generalized Differentiabilityen_US
dc.subjectFuzzy Laplace Transformen_US
dc.subjectittag-Leffler Function In Single Seriesen_US
dc.titleSolution of initial-value problem for linear third-order fuzzy differential equationsen_US
dc.typeArticleen_US

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