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A new fractional derivative operator with generalized cardinal sine kernel: Numerical simulation

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dc.contributor.author Odibat, Zaid
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-11-22T11:56:13Z
dc.date.available 2023-11-22T11:56:13Z
dc.date.issued 2023-10
dc.identifier.citation Odibat, Zaid; Baleanu, dumitru. (2023). "A new fractional derivative operator with generalized cardinal sine kernel: Numerical simulation", Mathematics And Computers In Simulation, Vol. 2012, pp. 224-233 tr_TR
dc.identifier.issn 0378-4754
dc.identifier.uri http://hdl.handle.net/20.500.12416/6568
dc.description.abstract In this paper, we proposed a new fractional derivative operator in which the generalized cardinal sine function is used as a non-singular analytic kernel. In addition, we provided the corresponding fractional integral operator. We expressed the new fractional derivative and integral operators as sums in terms of the Riemann-Liouville fractional integral operator. Next, we introduced an efficient extension of the new fractional operator that includes integrable singular kernel to overcome the initialization problem for related differential equations. We also proposed a numerical approach for the numerical simulation of IVPs incorporating the proposed extended fractional derivatives. The proposed fractional operators, the developed relations and the presented numerical method are expected to be employed in the field of fractional calculus.(c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.matcom.2023.04.033 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Riemann–Liouville İntegral tr_TR
dc.subject Cardinal Sine Function tr_TR
dc.subject Fractional Differential Equation tr_TR
dc.title A new fractional derivative operator with generalized cardinal sine kernel: Numerical simulation tr_TR
dc.type article tr_TR
dc.relation.journal Mathematics And Computers In Simulation tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 212 tr_TR
dc.identifier.startpage 224 tr_TR
dc.identifier.endpage 233 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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