We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Solvability and Optimal Controls of a Fractional Impulsive Stochastic Partial Integro-Differential Equation with State-Dependent Delay.
- Authors
Yan, Zuomao; Lu, Fangxia
- Abstract
In this paper, a new class of fractional impulsive stochastic partial integro-differential control systems with state-dependent delay and their optimal controls in a Hilbert space is studied. We firstly prove an existence result of mild solutions for the control systems by using stochastic analysis, analytic α<inline-graphic></inline-graphic>-resolvent operator, fractional powers of closed operators and suitable fixed point theorems. Then we derive the existence conditions of optimal pairs to the fractional impulsive stochastic control systems. Finally, an example is given to illustrate the effectiveness of our main results.
- Subjects
DIFFERENTIAL equations; BANACH spaces; FRACTIONAL calculus; STOCHASTIC partial differential equations; NONLINEAR systems
- Publication
Acta Applicandae Mathematicae, 2018, Vol 155, Issue 1, p57
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-017-0145-y