On the approximate controllability of semilinear fractional differential systems

Authors:
R. Sakthivel;Yong Ren;N. I. Mahmudov
Affiliations:
Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;Department of Mathematics, Anhui Normal University, Wuhu 241000, China;Department of Mathematics, Eastern Mediterranean University, Gazimagusa, Mersin 10, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 3
Cited 3

On Concepts of Controllability for Deterministic and Stochastic Systems

SIAM Journal on Control and Optimization
Approximate controllability of semilinear partial functional differential systems

Journal of Dynamical and Control Systems
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions

Computers & Mathematics with Applications

Approximate controllability of fractional stochastic evolution equations

Computers & Mathematics with Applications
Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation

Automation and Remote Control
On the approximate controllability of fractional evolution equations with compact analytic semigroup

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.09

Visualization

Abstract

Fractional differential equations have wide applications in science and engineering. In this paper, we consider a class of control systems governed by the semilinear fractional differential equations in Hilbert spaces. By using the semigroup theory, the fractional power theory and fixed point strategy, a new set of sufficient conditions are formulated which guarantees the approximate controllability of semilinear fractional differential systems. The results are established under the assumption that the associated linear system is approximately controllable. Further, we extend the result to study the approximate controllability of fractional systems with nonlocal conditions. An example is provided to illustrate the application of the obtained theory.