Advances in Difference Equations
Volume 2009 (2009), Article ID 840386, 15 pages
doi:10.1155/2009/840386

Variational optimal-control problems with delayed arguments on time scales

Thabet Abdeljawad , Fahd Jarad and Dumitru Baleanu

Department of Mathematics and Computer Science, Çankaya University, 06530 Ankara, Turkey

Abstract

This paper deals with variational optimal-control problems on time scales in the presence of delay in the state variables. The problem is considered on a time scale unifying the discrete, the continuous, and the quantum cases. Two examples in the discrete and quantum cases are analyzed to illustrate our results.