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dc.provenanceCONICET-
dc.creatorDorrego, Gustavo-
dc.date2018-03-16T19:21:35Z-
dc.date2018-03-16T19:21:35Z-
dc.date2016-05-
dc.date2018-03-09T18:43:39Z-
dc.date.accessioned2019-04-29T15:34:28Z-
dc.date.available2019-04-29T15:34:28Z-
dc.date.issued2016-05-
dc.identifierDorrego, Gustavo; The Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation; Taylor & Francis Ltd; Integral Transforms And Special Functions; 27; 5; 5-2016; 392-404-
dc.identifier1065-2469-
dc.identifierhttp://hdl.handle.net/11336/39132-
dc.identifier1476-8291-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/296890-
dc.descriptionIn this paper we study an n-dimensional generalization of time-fractional diffusion-wave equation, where the Laplacian operator is replaced by the ultra-hyperbolic operator and the time-fractional derivative is taken in the Hilfer sense. The analytical solution is obtained in terms of the Fox's H-function, for which the inverse Fourier transform of a Mittag–Leffler-type function that contains in its argument a positive-definite quadratic form is calculated.-
dc.descriptionFil: Dorrego, Gustavo. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherTaylor & Francis Ltd-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/10652469.2016.1144185-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/10652469.2016.1144185-
dc.rightsinfo:eu-repo/semantics/restrictedAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.source.urihttp://hdl.handle.net/11336/39132-
dc.subjectCAPUTO FRACTIONAL DERIVATIVE-
dc.subjectFOX'S H-FUNCTION-
dc.subjectFRACTIONAL DIFFERENTIAL EQUATION-
dc.subjectHILFER FRACTIONAL DERIVATIVE-
dc.subjectINTEGRALS TRANSFORMS-
dc.subjectMITTAG–LEFFLER-TYPE FUNCTION-
dc.subjectRIEMANN–LIOUVILLE FRACTIONAL DERIVATIVE-
dc.subjectULTRA-HYPERBOLIC OPERATOR-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleThe Mittag–Leffler function and its application to the ultra-hyperbolic time-fractional diffusion-wave equation-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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