Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions

Impulsive Functional-differential Equations with Nonlocal Conditions

Approximate Controllability of Impulsive Differential Equations with Nonlocal Conditions ∗

It is well known that the issue of controllability plays an important role in control theory and engineering (see [1]-[5]) because they have close connections to pole assignment, structural decomposition, quadratic optimal control, observer design etc. In recent years, the problem of controllability for various kinds of differential and impulsive differential systems has been extensively studie...

Controllability of Impulsive Functional Differential Systems with Nonlocal Conditions

In this article, we study the controllability of impulsive functional differential equations with nonlocal conditions. We establish sufficient conditions for controllability, via the measure of noncompactness and Mönch fixed point theorem.

Existence of fractional order mixed type functional integro-differential equations with nonlocal conditions

In this paper, we prove the existence of mild solutions for the semilinear fractional order functional of VolterraFredholm type differential equations with nonlocal conditions in a Banach space. The results are obtained by using the theory of fractional calculus, the analytic semigroup theory of linear operators and the fixed point techniques. MSC: 34K37 • 34A08 • 47H10

Approximate Controllability Results for Impulsive Linear Fuzzy Stochastic Differential Equations under Nonlocal Conditions

In this paper, the approximate controllability of impulsive linear fuzzy stochastic differential equations with nonlocal conditions in Banach space is studied. By using the Banach fixed point theorems, stochastic analysis, fuzzy process and fuzzy solution, some sufficient conditions are given for the approximate controllability of the system.