Controllability of impulsive fractional order semilinear evolution equations with nonlocal conditions.
N. K. Tomar
School of Basic Sciences, Indian Institute of Technology Patna, Patna-800 013, Bihar, India
J. Dabas
Department of Paper Technology, Indian Institute of Technology, Roorkee, Saharanpur Campus, Saharanpur-247001,UP, India
Received on October 22, 2011, revised version on March 19, 2011
Accepted on March 20, 2012
Communicated by Gisèle M. Mophou
| Abstract. The controllability problem for a class of impulsivefractional-order semilinear control system with nonlocal initial condition has been considered. Sufficient condition for the controllability is established by means of solution operator and application of Banach contraction theorem. | |
| Keywords: | Controllability, Fractional order differential equation, Nonlocal conditions, Contractions, Mild solution, Impulsive conditions. |
| 2010 Mathematics Subject Classification: 93B05, 34K05, 34A12, 34A37, 26A33. | |