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

dc.creatorDorrego, Gustavo Abel
dc.date.accessioned2020-06-02T22:47:49Z
dc.date.available2020-06-02T22:47:49Z
dc.date.created2020-06-02T22:47:49Z
dc.date.issued2016-03
dc.identifierDorrego, 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.identifier1476-829
dc.identifierhttp://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.
dc.languageeng
dc.publisherTaylor & Francis Group
dc.relationhttp://dx.doi.org/10.1080/10652469.2016.1144185
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.rightsopenAccess
dc.sourceIntegral transforms and special functions, 2016, vol. 27, no. 5, p. 392-404.
dc.subjectFractional differential equation
dc.subjectHilfer fractional derivative
dc.subjectCaputo fractional derivative
dc.subjectRiemann liouville fractional derivative
dc.subjectMittag leffler type function
dc.subjectFox's h function
dc.subjectIntegrals transforms
dc.subjectUltra hyperbolic operator
dc.titleThe mittag leffler function and its application to the ultra hyperbolic time fractional diffusion wave equation
dc.typeArtículo


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