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Solutions Of The Telegraph Equations Using A Fractional Calculus Approach

dc.contributor.authorGomez Aguilar, Jose Francisco
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-05-19T16:12:14Z
dc.date.available2020-05-19T16:12:14Z
dc.date.issued2014
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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.en_US
dc.description.publishedMonth1
dc.identifier.citationGomez 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).en_US
dc.identifier.endpage34en_US
dc.identifier.issn1454-9069
dc.identifier.issue1en_US
dc.identifier.startpage27en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/3930
dc.identifier.volume15en_US
dc.language.isoenen_US
dc.publisherEditura Academiei Romaneen_US
dc.relation.ispartofProceedings Of The Romanian Academy Series A-Mathematics Physics Technical Sciences Information Scienceen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTransmission Lineen_US
dc.subjectFractional Differential Equationsen_US
dc.subjectMittag-Leffler Functionen_US
dc.titleSolutions Of The Telegraph Equations Using A Fractional Calculus Approachtr_TR
dc.titleSolutions of the Telegraph Equations Using a Fractional Calculus Approachen_US
dc.typeArticleen_US
dspace.entity.typePublication

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