APPROXIMATE CONTROLLABILITY OF IMPULSIVE STOCHASTIC FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions

In this paper, the approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions and infinite delay in Hilbert spaces is studied. By using the Krasnoselskii-Schaefer-type fixed point theorem and stochastic analysis theory, some sufficient conditions are given for the approximate controllability of the system. At the end, an example is giv...

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...

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.

Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions

We discuss the approximate controllability of nonlinear fractional integro-differential system under the assumptions that the corresponding linear system is approximately controllable. Using the fixed-point technique, fractional calculus and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional integro-differential equations are form...

Impulsive Functional-differential Equations with Nonlocal Conditions