MATHEMATICS. MATHEMATIC MODELING

On representation for fractional integral of M. Saigo and its inversion formula

Z. A. Nakhusheva

Establishment the Russian Academy of Sciences Scientific research institute of applied mathematics and automation of KBSC of the Russian Academy of Sciences, 360000, Nalchik, 89-а, Shortanov street

Abstract: Theorem of representation for fractional integral of M. Saigo by superposition of two weighted Riemann-Liouville integro-differential operators is proved and inversion formula for this operator using generalized Erdeyi-Kober transform is given.

Keywords: fractional integral of M. Saigo, Riemann-Liouville integro-differential operator, generalized Erdeyi-Kober transform.

UDC: 517.983.2

Received: 07.04.2010

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