Abstract In this article, we study the controllability for impulsive fractional integro-differential evolution equation in a Banach space. The discussions are based on Mönch fixed point theorem as well theory of calculus and $(\alpha ,\beta )$ ( α , β ) ...

Aim of this paper is to provide a survey of the theory of impulsive control of Lagrangian systems. It is assumed here that an external controller can determine the evolution of the system by directly prescribing the values of some of the coordinates. We begin by motivating the theory with a couple of elementary examples. Then we discuss the analytical form taken by the equations of motion, and ...

In 1991, the first paper on impulsive partial differential equations [1] was published. For an excellent exposition of this paper and its applications, see [2]. The oscillation theory of impulsive partial differential equations have wide applications in such subjects as control theory, meteorology, biology, medicine, engineering, chemistry and physics. Many results can be found [3-14]. However,...