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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2009 Volume 17, Number 1, Pages 41–50 (Mi timb27)

Composition properties of operators of local fractional integro-differentiation calculated in various points

A. P. Grinko

Brest State University

Abstract: Operators of local fractional differentiation and integration in a neighbourhood of a finite point of the real axis are considered. Composition formulas for operators of a local differentiation and integration calculated in various points with equal and different exponents are proved in the space of summable functions. The formula of Taylor type is received.

UDC: 517.968

Received: 20.08.2008



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