, Volume 77, Issue 1-2, pp 26-38

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

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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.

Translated from Matematicheskie Zametki, vol. 77, no. 1, 2005, pp. 28–41.
Original Russian Text Copyright © 2005 by A. V. Glushak.
This revised version was published online in April 2005 with a corrected issue number.