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dc.contributor.authorGomoyunov, M. I.en
dc.date.accessioned2022-10-19T05:21:14Z-
dc.date.available2022-10-19T05:21:14Z-
dc.date.issued2022-
dc.identifier.citationGomoyunov M. I. On differentiability of solutions of fractional differential equations with respect to initial data / M. I. Gomoyunov // Fractional Calculus and Applied Analysis. — 2022. — Vol. 25. — Iss. 4. — P. 1484-1506.en
dc.identifier.issn13110454-
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85135486876&doi=10.1007%2fs13540-022-00072-w&partnerID=40&md5=d686cd07140c0918c865ef398364805alink
dc.identifier.urihttp://elar.urfu.ru/handle/10995/118039-
dc.description.abstractIn this paper, we deal with a Cauchy problem for a nonlinear fractional differential equation with the Caputo derivative of order α∈ (0 , 1). As initial data, we consider a pair consisting of an initial point, which does not necessarily coincide with the inferior limit of the fractional derivative, and a function that determines the values of a solution on the interval from this inferior limit to the initial point. We study differentiability properties of the functional associating initial data with the endpoint of the corresponding solution of the Cauchy problem. Stimulated by recent results on the dynamic programming principle and Hamilton–Jacobi–Bellman equations for fractional optimal control problems, we examine so-called fractional coinvariant derivatives of order α of this functional. We prove that these derivatives exist and give formulas for their calculation. © 2022, Diogenes Co.Ltd.en
dc.description.sponsorshipRussian Science Foundation, RSF: 19-11-00105en
dc.description.sponsorshipThis work was supported by RSF, Project no. 19-11-00105.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherSpringer Natureen
dc.relationinfo:eu-repo/grantAgreement/RSF//19-11-00105en
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceFractional Calculus and Applied Analysisen
dc.subjectCAPUTO FRACTIONAL DERIVATIVEen
dc.subjectCAUCHY PROBLEMen
dc.subjectDIFFERENTIABILITY WITH RESPECT TO INITIAL DATAen
dc.subjectFRACTIONAL COINVARIANT DERIVATIVESen
dc.subjectFRACTIONAL DIFFERENTIAL EQUATION (PRIMARY)en
dc.titleOn differentiability of solutions of fractional differential equations with respect to initial dataen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.doi10.1007/s13540-022-00072-w-
dc.identifier.scopus85135486876-
local.contributor.employeeGomoyunov, M.I., Krasovskii Institute of Mathematics and Mechanics of Ural Branch of Russian Academy of Sciences, “S. Kovalevskaya” Str., Block 16, Ekaterinburg, 620108, Russian Federation, Ural Federal University, “Mira” Str., Block 19, Ekaterinburg, 620002, Russian Federationen
local.description.firstpage1484-
local.description.lastpage1506-
local.issue4-
local.volume25-
dc.identifier.wos000836490700001-
local.contributor.departmentKrasovskii Institute of Mathematics and Mechanics of Ural Branch of Russian Academy of Sciences, “S. Kovalevskaya” Str., Block 16, Ekaterinburg, 620108, Russian Federationen
local.contributor.departmentUral Federal University, “Mira” Str., Block 19, Ekaterinburg, 620002, Russian Federationen
local.identifier.pure30851747-
local.identifier.eid2-s2.0-85135486876-
local.fund.rsf19-11-00105-
local.identifier.wosWOS:000836490700001-
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