Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator

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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.authorAkram, Muhammad
dc.contributor.authorIhsan, Tayyaba
dc.contributor.authorAllahviranloo, Tofigh
dc.contributor.authorAl-Shamiri, Mohammed M. Ali
dc.date.accessioned2022-09-12T12:35:59Z
dc.date.available2022-09-12T12:35:59Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis study presents a new analytical method to extract the fuzzy solution of the fuzzy initial value problem (FIVP) of fourth-order fuzzy ordinary differential equations (FODEs) using the Laplace operator under the strongly generalized Hukuhara differentiability (SGH-differentiability). To this end, firstly the fourth-order derivative of the fuzzy valued function (FVF) according to the type of the SGH-differentiability is introduced, and then the relationships between the fourth-order derivative of the FVF and its Laplace transform are established. Furthermore, considering the types of differentiabilities and switching points, some fundamental theorems related to the Laplace transform of the fourth-order derivative of the FVF are stated and proved in detail and a method to solve FIVP by the fuzzy Laplace transform is presented in detail. An application of our proposed method in Resistance-Inductance circuit (RL circuit) is presented. Finally, FIVP's solution is graphically analyzed to visualize and support theoretical results.en_US
dc.identifier.citationAkram, M., Ihsan, T., Allahviranloo, T., Al-Shamiri, M. M. A. (2022). Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator. Mathematical Biosciences and Engineering, 19(2), 11868-11902.en_US
dc.identifier.doi10.3934/mbe.2022554en_US
dc.identifier.endpage11902en_US
dc.identifier.issn1547-1063en_US
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85136457991en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage11868en_US
dc.identifier.urihttps://doi.org/10.3934/mbe.2022554
dc.identifier.urihttps://hdl.handle.net/20.500.12713/3136
dc.identifier.volume19en_US
dc.identifier.wosWOS:000844160300004en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMSen_US
dc.relation.ispartofMATHEMATICAL BIOSCIENCES AND ENGINEERINGen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFuzzy Numbersen_US
dc.subjectSGH-di Ff Erentiabilityen_US
dc.subjectFuzzy Initial -Value Problemen_US
dc.subjectFuzzy Laplaceen_US
dc.subjectTransformen_US
dc.subjectMittag-Le Ffl Er Functionen_US
dc.titleAnalysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operatoren_US
dc.typeArticleen_US

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