Square-mean S-asymptotically $\omega$-periodic solution for a stochastic fractional evolution equation driven by L\'{e}vy noise with piecewise constant argument
Dynamical Systems
2016-09-16 v1
Abstract
In this paper, we introduce some concepts of square-mean S-asymptotically -periodic stochastic processes. Using the stochastic analysis method and the Banach contraction mapping principle, we establish the existence and uniqueness results of the mild solution and the square-mean S-asymptotically -periodic solution for a semilinear nonautonomous stochastic fractional evolution equation driven by L\'{e}vy noise.
Keywords
Cite
@article{arxiv.1609.01444,
title = {Square-mean S-asymptotically $\omega$-periodic solution for a stochastic fractional evolution equation driven by L\'{e}vy noise with piecewise constant argument},
author = {Shufen Zhao and Minghui Song},
journal= {arXiv preprint arXiv:1609.01444},
year = {2016}
}
Comments
arXiv: admin note: substantial text overlap with arXiv:1609.01453