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Asymptotic integration of (1+alpha)-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 2017-02-17T07:56:07Z
dc.date.available 2017-02-17T07:56:07Z
dc.date.issued 2011-08
dc.identifier.citation Baleanu, D...et al. (2011). Asymptotic integration of (1+alpha)-order fractional differential equations. Computers&Mathematics With Applications, 62(3), 1492-1500. http://dx.doi.org/10.1016/j.camwa.2011.03.021 tr_TR
dc.identifier.issn 0898-1221
dc.identifier.uri http://hdl.handle.net/20.500.12416/1266
dc.description.abstract We establish the long-time asymptotic formula of solutions to the (1 + alpha)-order fractional differential equation (i)(0)O(t)(1+alpha)x + a (t)x = 0, t > 0, under some simple restrictions on the functional coefficient a(t), where (i)(0)O(t)(1+alpha)x is one of the fractional differential operators D-0(t)alpha(x'), ((0)D(t)(alpha)x)' = D-0(t)1+alpha x and D-0(t)alpha(tx' - x). Here, D-0(t)alpha designates the Riemann-Liouville derivative of order a E (0, 1). The asymptotic formula reads as [b + O(1)] . x(small) + c . x(large) as t -> +infinity for given b, c E is an element of R, where x(small) and x(large) represent the eventually small and eventually large solutions that generate the solution space of the fractional differential equation (i)(0)O(t)(1+alpha)x = 0, t > 0. tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science Ltd tr_TR
dc.relation.isversionof 10.1016/j.camwa.2011.03.021 tr_TR
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Linear Fractional Differential Equation tr_TR
dc.subject Asymptotic Integration tr_TR
dc.title Asymptotic integration of (1+alpha)-order fractional differential equations tr_TR
dc.type article tr_TR
dc.relation.journal Computers&Mathematics With Applications 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 Bilgisayar Bölümü tr_TR


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