Ergodic type solutions of differential equations with piecewise constant arguments.
Existence and controllability of fractional-order impulsive stochastic system with infinite delay
This paper is concerned with the existence and approximate controllability for impulsive fractional-order stochastic infinite delay integro-differential equations in Hilbert space. By using Krasnoselskii's fixed point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided...
Existence of solutions and approximate controllability of impulsive fractional stochastic differential systems with infinite delay and Poisson jumps
The paper is motivated by the study of interesting models from economics and the natural sciences where the underlying randomness contains jumps. Stochastic differential equations with Poisson jumps have become very popular in modeling the phenomena arising in the field of financial mathematics, where the jump processes are widely used to describe the asset and commodity price dynamics. This paper addresses the issue of approximate controllability of impulsive fractional stochastic differential...
Existence results for random neutral functional integrodifferential inclusions.
Existence, uniqueness and stability results of impulsive stochastic semilinear neutral functional differential equations with infinite delays.
Exponential asymptotic stability of linear Itô-Volterra equations with damped stochastic perturbations.
Exponential stability of linear stochastic differential equations with bounded delay and the W-transform.