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The mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation

dc.contributor.authorDorrego, Gustavo Abeles
dc.date.accessioned2020-06-02T22:47:49Z
dc.date.available2020-06-02T22:47:49Z
dc.date.issued2016-03es
dc.identifier.citationDorrego, Gustavo Abel, 2016. The Mittag Leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation. Integral Transforms and Special Functions. Reino Unido: Taylor & Francis Group, vol. 27, no. 5, p. 392-404. ISSN 1476-829.
dc.identifier.issn1476-829
dc.identifier.urihttp://repositorio.unne.edu.ar/handle/123456789/9111
dc.description.abstractIn this paper we study an n-dimensional generalization of timefractional 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.es
dc.formatapplication/pdf
dc.format.extentp. 392-404
dc.language.isoenges
dc.publisherTaylor & Francis Groupes
dc.relationhttp://dx.doi.org/10.1080/10652469.2016.1144185
dc.rightsopenAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/es
dc.sourceIntegral transforms and special functions, 2016, vol. 27, no. 5, p. 392-404.
dc.subjectFractional differential equationes
dc.subjectHilfer fractional derivativees
dc.subjectCaputo fractional derivativees
dc.subjectRiemann liouville fractional derivativees
dc.subjectMittag leffler type functiones
dc.subjectFox's h functiones
dc.subjectIntegrals transformses
dc.subjectUltra hyperbolic operatores
dc.titleThe mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equationes
dc.typeArtículoes
dc.description.affiliationFil: Dorrego, Gustavo Abel. Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura; Argentina.es
dc.description.affiliationFil: Dorrego, Gustavo Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet-Nordeste; Argentina.es
unne.journal.paisReino Unido


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