Controllability of impulsive stochastic functional integrodifferential equations driven by Rosenblatt process and Lévy noise

Impulsive integrodifferential Equations and Measure of noncompactness

This paper is concerned with the existence of mild solutions for impulsive integro-differential equations with nonlocal conditions. We apply the technique measure of noncompactness in the space of piecewise continuous functions and by using Darbo-Sadovskii's fixed point theorem, we prove reasults about impulsive integro-differential equations for convex-power condensing operators.

Controllability of Nonlocal Impulsive Stochastic Quasilinear Integrodifferential Systems

Sufficient conditions for controllability of nonlocal impulsive stochastic quasilinear integrodifferential systems in Hilbert spaces are established. The results are obtained by using evolution operator, semigroup theory and fixed point technique. As an application, an example is provided to illustrate the obtained result.

Controllability of Impulsive Fractional Evolution Integrodifferential Equations in Banach Spaces

According to fractional calculus theory and Banach’s fixed point theorem, we establish the sufficient conditions for the controllability of impulsive fractional evolution integrodifferential equations in Banach spaces. An example is provided to illustrate the theory.

Controllability of Nonlocal Impulsive Functional Integrodifferential Evolution Systems

In this paper, we establish a set of sufficient conditions for the controllability of nonlocal impulsive functional integrodifferential evolution systems with finite delay. The controllability results are obtained with out assuming the compactness condition on the evolution operator by using the semigroup theory and applying the fixed point approach. An example is provided to illustrate the the...

Controllability for the Impulsive Semilinear Fuzzy Integrodifferential Equations