Generalized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator

dc.creatorDorrego, Gustavo
dc.date.accessioned2018-03-21T15:20:39Z
dc.date.available2018-03-21T15:20:39Z
dc.date.created2018-03-21T15:20:39Z
dc.date.issued2016-04
dc.identifierDorrego, Gustavo; Generalized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator; Natural Sciences Publishing; Progress in Fractional Differentiation and Applications; 2; 2; 4-2016; 131-140
dc.identifier2356-9336
dc.identifierhttp://hdl.handle.net/11336/39494
dc.identifier2356-9344
dc.identifierCONICET Digital
dc.identifierCONICET
dc.description.abstractThe paper introduces a new integral operator which generalizes the Prabhakar integral operator. The boundedness on the space of continuous functions and on the space of Lebesgue integrable functions on an interval is studied. In addition, the left inverse operator is constructed. The properties of composition with the k-Riemann-Liouville fractional operators are analized. Finally, as an application, a fractional generalization of the Cauchy problem associated with free electron laser equation is proposed.
dc.languageeng
dc.publisherNatural Sciences Publishing
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.naturalspublishing.com/Article.asp?ArtcID=10531
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.18576/pfda/020206
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectFractional Integral Operator
dc.subjectRiemann-Liouville Fractional Derivative
dc.subjectK-Gamma Function
dc.subjectK-Mittag-Leffler Function
dc.subjectRiemann-Lioville Fractional Integral
dc.titleGeneralized Riemann-Liouville Fractional Operators Associated with a Generalization of the Prabhakar Integral Operator
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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