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A new fractional derivative for differential equation of fractional order under interval uncertainty

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dc.contributor.author Salahshour, Soheil
dc.contributor.author Ahmadian, Ali
dc.contributor.author Ismail, Fudziah
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Senu, Norazak
dc.date.accessioned 2017-04-20T10:38:16Z
dc.date.available 2017-04-20T10:38:16Z
dc.date.issued 2015-12
dc.identifier.citation Salahshour, S...et al. (2015). A new fractional derivative for differential equation of fractional order under interval uncertainty. Advance In Mechanical Engineering, 7(12). http://dx.doi.org/10.1177/1687814015619138 tr_TR
dc.identifier.issn 1687-8140
dc.identifier.uri http://hdl.handle.net/20.500.12416/1558
dc.description.abstract In this article, we develop a new definition of fractional derivative under interval uncertainty. This fractional derivative, which is called conformable fractional derivative, inherits some interesting properties from the integer differentiability which is more convenient to work with the mathematical models of the real-world phenomena. The interest for this new approach was born from the notion that makes a dependency just on the basic limit definition of the derivative. We will introduce and prove the main features of this well-behaved simple fractional derivative under interval arithmetic uncertainty. The actualization and usefulness of this approach are validated by solving two practical models tr_TR
dc.language.iso eng tr_TR
dc.publisher Sage Publications LTD tr_TR
dc.relation.isversionof 10.1177/1687814015619138 tr_TR
dc.rights info:eu-repo/semantics/openAccess
dc.subject Interval Arithmetic tr_TR
dc.subject Fractional Derivatives tr_TR
dc.subject Interval-Valued Function tr_TR
dc.subject Generalized Hukuhara Differentiability tr_TR
dc.subject Viscoelastic Models tr_TR
dc.title A new fractional derivative for differential equation of fractional order under interval uncertainty tr_TR
dc.type article tr_TR
dc.relation.journal Advance In Mechanical Engineering tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 12 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


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