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On analytical solutions of the fractional differential equation with uncertainty: application to the basset problem

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dc.contributor.author Salahshour, Soheil
dc.contributor.author Ahmadian, Ali
dc.contributor.author Senu, Norazak
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Agarwal, Ravi P.
dc.date.accessioned 2017-03-15T07:27:41Z
dc.date.available 2017-03-15T07:27:41Z
dc.date.issued 2015-02
dc.identifier.citation Salahshour, S...et al. (2015). On analytical solutions of the fractional differential equation with uncertainty: application to the basset problem. Entropy, 17(2), 885-902. http://dx.doi.org/10.3390/e17020885 tr_TR
dc.identifier.issn 1099-4300
dc.identifier.uri http://hdl.handle.net/20.500.12416/1474
dc.description.abstract In this paper, we apply the concept of Caputo's H-differentiability, constructed based on the generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) with uncertainty. This is in contrast to conventional solutions that either require a quantity of fractional derivatives of unknown solution at the initial point (Riemann-Liouville) or a solution with increasing length of their support (Hukuhara difference). Then, in order to solve the FFDE analytically, we introduce the fuzzy Laplace transform of the Caputo H-derivative. To the best of our knowledge, there is limited research devoted to the analytical methods to solve the FFDE under the fuzzy Caputo fractional differentiability. An analytical solution is presented to confirm the capability of the proposed method. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI AG tr_TR
dc.relation.isversionof 10.3390/e17020885 tr_TR
dc.rights info:eu-repo/semantics/openAccess
dc.subject Integrodifferential Equations tr_TR
dc.subject Integral-Equations tr_TR
dc.subject Derivatives tr_TR
dc.subject Entropy tr_TR
dc.subject Systems tr_TR
dc.title On analytical solutions of the fractional differential equation with uncertainty: application to the basset problem tr_TR
dc.type article tr_TR
dc.relation.journal Entropy tr_TR
dc.identifier.volume 17 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 885 tr_TR
dc.identifier.endpage 902 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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