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Solutions Of The Telegraph Equations Using A Fractional Calculus Approach

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dc.contributor.author Gomez Aguilar, Jose Francisco
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-19T16:12:14Z
dc.date.available 2020-05-19T16:12:14Z
dc.date.issued 2014-01
dc.identifier.citation Gomez Aguilar, Jose Francisco; Baleanu, Dumitru, "Solutions Of The Telegraph Equations Using A Fractional Calculus Approach", Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science, 15, No. 1, pp. 27-34, (2014). tr_TR
dc.identifier.issn 1454-9069
dc.identifier.uri http://hdl.handle.net/20.500.12416/3930
dc.description.abstract In this paper, the fractional differential equation for the transmission line without losses in terms of the fractional time derivatives of the Caputo type is considered. In order to keep the physical meaning of the governing parameters, new parameters a and a were introduced. These parameters characterize the existence of the fractional components in the system. A relation between these parameters is also reported. Fractional differential equations are examined with both temporal and spatial fractional derivatives. We show a few illustrative examples when the wave periodicity is broken in either temporal or spatial variables. Finally, we present the output of numerical simulations that were performed with both temporal and spatial fractional derivatives. tr_TR
dc.language.iso eng tr_TR
dc.publisher Editura Academiei Romane tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Transmission Line tr_TR
dc.subject Fractional Differential Equations tr_TR
dc.subject Mittag-Leffler Function tr_TR
dc.title Solutions Of The Telegraph Equations Using A Fractional Calculus Approach tr_TR
dc.type article tr_TR
dc.relation.journal Proceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 15 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 27 tr_TR
dc.identifier.endpage 34 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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