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Asymptotic Integration of (1 + Α) -Order Fractional Differential Equations

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Mustafa, Octavian G.
dc.contributor.author Agarwal, Ravi P.
dc.date.accessioned 2020-05-16T14:03:10Z
dc.date.available 2020-05-16T14:03:10Z
dc.date.issued 2011-08
dc.identifier.citation Bleanu, D.; Mustafa, O.G.; Agarwal, R.P.,"Asymptotic Integration of (1 + Α) -Order Fractional Differential Equations",Vol. 62, No. 3, pp. 1492-1500, (2011). tr_TR
dc.identifier.issn 08981221
dc.identifier.uri http://hdl.handle.net/20.500.12416/3873
dc.description.abstract We establish the long-time asymptotic formula of solutions to the (1+α)-order fractional differential equation 0iOt1+αx+a(t)x=0, t>0, under some simple restrictions on the functional coefficient a(t), where 0iOt1+α is one of the fractional differential operators 0Dtα(x′), (0Dtαx)′= 0Dt1+αx and 0Dtα(tx′-x). Here, 0Dtα designates the Riemann-Liouville derivative of order α∈(0,1). The asymptotic formula reads as [b+O(1)] ·xsmall+c·xlarge as t→+∞ for given b, c∈R, where xsmall and xlarge represent the eventually small and eventually large solutions that generate the solution space of the fractional differential equation 0iOt1+αx=0, t>0 tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.camwa.2011.03.021 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Linear Fractional Differential Equation tr_TR
dc.subject Asymptotic Integration tr_TR
dc.title Asymptotic Integration of (1 + Α) -Order Fractional Differential Equations tr_TR
dc.type article tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 62 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 1492 tr_TR
dc.identifier.endpage 1500 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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