Approximate Controllability of Fractional Semilinear Stochastic System of Order alpha is an element of(1,2]

作者：Shukla Anurag^*; Sukavanam N; Pandey D N

来源：Journal of Dynamical and Control Systems, 2017, 23(4): 679-691.

DOI：10.1007/s10883-016-9350-7

• Fractional derivatives and integrals
• Approximate controllability
• alpha-order cosine family
• Fixed point theorem

A family of dynamical control systems described by nonlinear fractional of order (1, 2] stochastic differential equations in L-p spaces is considered. We discussed the approximate controllability of stochastic semilinear fractional control system of order alpha is an element of (1, 2] under the assumption that the corresponding linear system is approximately controllable. A new set of sufficient conditions for approximate controllability of system are obtained by the theory of strongly continuous alpha-order cosine family, fixed point theorem, and stochastic analysis techniques. At the end, an example is given to illustrate the theory.

• 出版日期2017-10
• 单位中国石油大学（北京）