On the properties of a Cauchy-type problem for an abstract differential equation with fractional derivatives
Authors:
A. V. Glushak
Affiliation:
(1) Belgorod State University, Russia
Abstract:
We study the relationship between the solutions of abstract differential equations with fractional derivatives and their stability with respect to the perturbation by a bounded operator. Besides, we obtain representations for the solution of an inhomogeneous equation and for an equation containing a fractional power of the generator of a cosine operator function.