Abstract
AbstractBy using the strongly continuous semigroup theory and the Banach contraction principle, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces. An example is provided to illustrate the theory.
Highlights
There has been increasing interest in studying the problem of controllability of nonlinear systems. Zhang (2000) obtained results on local exact controllability of semilinear integrodifferential systems in abstract spaces by means of Banach fixed point theorem
In this paper, we study the boundary controllability of time varying delay impulsive nonlinear fractional integrodifferential system in Banach spaces using the strongly continuous semigroup theory and the Banach contraction principle
In this paper we study the boundary controllability of delay nonlinear fractional integrodifferential system
Summary
There has been increasing interest in studying the problem of controllability of nonlinear systems. Zhang (2000) obtained results on local exact controllability of semilinear integrodifferential systems in abstract spaces by means of Banach fixed point theorem. Zhang (2000) obtained results on local exact controllability of semilinear integrodifferential systems in abstract spaces by means of Banach fixed point theorem. Balasubramanian, Dauer, and Loganathan (2002) considered a class of semilinear functional integrodifferential equations in Banach space setting and provided sufficient conditions for the controllability.
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