APPROXIMATE CONTROLLABILITY OF HILFER FRACTIONAL NEUTRAL STOCHASTIC DIFFERENTIAL EQUATIONS

作者：Lv, Jingyun^*; Yang, Xiaoyuan

来源：DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27(4): 691-713.

DOI：10.12732/dsa.v27i4.1

• approximate controllability
• hilfer fractional derivative
• fractional stochastic differential equations

In this paper, we investigate the approximate controllability of Hilfer fractional neutral stochastic differential equations. Firstly, the existence and uniqueness of mild solutions for these equations are obtained by means of the Banach contraction mapping principle. Then, combining the techniques of stochastic analysis theory, fractional calculations and operator semigroup theory, a new set of sufficient conditions for approximate controllability of these equations is formulated. At last, an example is presented to illustrate the obtained results.

• 出版日期2018-12
• 单位北京航空航天大学