Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 26, pp. 1-16.

Title: Relaxation in control systems of fractional semilinear evolution equations

Authors: Xiaoyou Liu (Univ. of South China,  Hunan, China)
         Xi Fu  (Shaoxing Univ., Zhejiang,  China)
 
Abstract:
 We consider a control system described by fractional semilinear evolution
 equations with a mixed multivalued control constraint whose values are
 nonconvex  closed sets. Along with the original system, we consider
 the system in which the constraint on the control is the closed convex
 hull of the original  constraint. We obtain existence results for the
 control systems and  study relations between the solution sets
 of the two systems. An example is given to illustrate the abstract results.

Submitted October 15, 2013. Published January 14, 2014.
Math Subject Classifications: 34G20, 93C20, 34A08.
Key Words: Fractional semilinear evolution equation; relaxation property;  
           feedback control; nonconvex constraint; mild solution.