Dynamics of Partial Differential Equations
Volume 11 (2014)
Controllability of Sobolev type fractional evolution systems
Pages: 71 – 87
The main purpose of this paper is to investigate a class of Sobolev type semilinear fractional evolution systems in a separable Banach space. Applying a suitable fixed point theorem as well as condensing mapping, controllability results for two class of control sets are established by means of the theory of propagation family and technique of measure of noncompactness. An application involving a partial differential equation with a Caupto fractional derivative is considered.
Sobolev type fractional evolution systems, propagation family, measure of noncompactness, mild solutions, controllability
2010 Mathematics Subject Classification
47J35, 93B05, 93C25