Extended Riemann-Liouville type fractional derivative operator with applications

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática, Estatística e Optimizacióngl
dc.contributor.authorAgarwal, Priyanka
dc.contributor.authorNieto Roig, Juan José
dc.contributor.authorLuo, M.-J.
dc.date.accessioned2018-10-22T13:03:46Z
dc.date.available2018-10-22T13:03:46Z
dc.date.issued2017
dc.description.abstractThe main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind. Some typical generating relations for these extended hypergeometric functions are obtained by defining the extension of the Riemann-Liouville fractional derivative operator. Their connections with elementary functions and Fox’s H-function are also presentedgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe research of J.J. Nieto has been partially supported by the Ministerio de Economía y Competitividad of Spain under grants MTM2016–75140–P, MTM2013–43014–P, Xunta de Galicia, Grants GRC2015-004 and R2016-022, and co- nanced by the European Community fund FEDERgl
dc.identifier.citationAgarwal, P., Nieto, J.J., Luo, M.-J. (2017). Extended Riemann-Liouville type fractional derivative operator with applications. Open Mathematics, 15(1), pp. 1667–1681. doi: https://doi.org/10.1515/math-2017-0137gl
dc.identifier.doi10.1515/math-2017-0137
dc.identifier.essn2391-5455
dc.identifier.urihttp://hdl.handle.net/10347/17585
dc.language.isoenggl
dc.publisherDe Gruytergl
dc.relation.publisherversionhttps://doi.org/10.1515/math-2017-0137gl
dc.rights© 2017 Agarwal et al. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Licensegl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectGamma functiongl
dc.subjectExtended beta functiongl
dc.subjectRiemann-Liouville fractional derivativegl
dc.subjectHypergeometric functionsgl
dc.subjectFox H-functiongl
dc.subjectGenerating functionsgl
dc.subjectMellin transformgl
dc.subjectIntegral representationsgl
dc.titleExtended Riemann-Liouville type fractional derivative operator with applicationsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery85e127ae-7ec7-48e4-bb4a-8eb83882ea26

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