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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2014 Volume 55, Number 6, Pages 1334–1344 (Mi smj2608)
This article is cited in 5 papers

The Cauchy problem for an equation with fractional derivatives in Bessel potential spaces

A. O. Lopushansky

Institute of Mathematics, Rzeszów University, Rzeszów, Poland

Abstract: For an equation with fractional derivatives we establish the existence of a solution to the Cauchy problem which is classical in time and belongs to Bessel potential classes in space variables.

Keywords: distribution, convolution, fractional derivative, Bessel potential space, Green's function.

UDC: 517.95

Received: 06.01.2014


 English version: Siberian Mathematical Journal, 2014, 55:6, 1089–1097

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© Steklov Math. Inst. of RAS, 2024