Some applications of fractional calculus involving summation of infinite series

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dc.contributor.authorSalinas de Romero, Susana
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2010-05-11T21:49:57Z
dc.date.available2010-05-11T21:49:57Z
dc.date.copyright1996en
dc.date.issued2010-05-11T21:49:57Z
dc.description.abstractA significantly large number of earlier works on the subject of fractional calculus give interesting accounts of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial differential equations, integral equations, special functions, summation of series, et cetera). The main object of the present paper is to examine rather systematically (and extensively) some of the most recent contributions on the applications of fractional calculus operators in finding the sums of an interesting family of infinite series. Various further generalizations, relevant to the present investigation, are also given.en
dc.description.sponsorshipNSERC Grant OGP0007353 and CONDES-La Universidad del Zuliaen
dc.identifier.urihttp://hdl.handle.net/1828/2749
dc.language.isoenen
dc.relation.ispartofseriesDMS-742-IRen
dc.subjectfractional calculus
dc.subjectordinary and partial differential equations
dc.subjectintegral equations
dc.subjectspecial functions
dc.subjectsummation of series
dc.subjectdifferintegral operator
dc.subjectRiemann-Liouville fractional derivative (or integral)
dc.subjectWeyl fractional derivative (or integral)
dc.subjectN-fractional calculus
dc.subjectPochhammer symbol
dc.subjectLeibniz rule
dc.subjecthypergeometric functions
dc.subjectsummation formula
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleSome applications of fractional calculus involving summation of infinite seriesen
dc.typeTechnical Reporten

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