This article is cited in 12 papers

Cauchy-type problem for an abstract differential equation with fractional derivatives

A. V. Glushak

Voronezh State Technical University

Abstract: The uniform well-posedness of a Cauchy-type problem with two fractional derivatives and bounded operator $A$ is proved. For an unbounded operator $A$ we present a test for the uniform well-posedness of the problem under consideration consistent with the test for the uniform well-posedness of the Cauchy problem for an equation of second order.

UDC: 517.983

Received: 05.07.2002
Revised: 24.02.2004

DOI: 10.4213/mzm2466

 English version: Mathematical Notes, 2005, 77:1, 26–38

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