On the properties of a Cauchy-type problem for an abstract differential equation with fractional derivatives
- Cite this article as:
- Glushak, A.V. Math Notes (2007) 82: 596. doi:10.1134/S000143460711003X
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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.