TITLE:
Approximate Controllability of Fractional Order Retarded Semilinear Control Systems
AUTHORS:
Simegne Tafesse, Nagarajan Sukavanam
KEYWORDS:
Approximate Controllability; Fractional Order; Existence and Uniqueness, Retarded; Semilinear System; Integral Contractor
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.2 No.3,
August
19,
2013
ABSTRACT:
In this paper, approximate controllability of fractional
order retarded semilinear systems is studied when the nonlinear term satisfies
the newly formulated bounded integral contractor-type conditions. We have shown
the existence and uniqueness of the mild solution for the fractional order
retarded semilinear systems using an iterative procedure approach. Finally, we
obtain the approximate controllability results of the system under simple
condition.