Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay
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Authors
Zuomao Yan
- School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, P. R. China.
Fangxia Lu
- Department of Mathematics,, Hexi University, Zhangye, Gansu 734000, P. R. China.
Abstract
In this paper we study optimal control problems governed by fractional stochastic partial neutral functional
integro-differential equations with infinite delay in Hilbert spaces. We prove an existence result of mild
solutions by using the fractional calculus, stochastic analysis theory, and fixed point theorems with the
properties of analytic α-resolvent operators. Next, we derive the existence conditions of optimal pairs of
these systems. Finally an example of a nonlinear fractional stochastic parabolic optimal control system is
worked out in detail.
Share and Cite
ISRP Style
Zuomao Yan, Fangxia Lu, Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 557--577
AMA Style
Yan Zuomao, Lu Fangxia, Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay. J. Nonlinear Sci. Appl. (2015); 8(5):557--577
Chicago/Turabian Style
Yan, Zuomao, Lu, Fangxia. "Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 557--577
Keywords
- Fractional stochastic partial neutral functional integro-differential equations
- optimal controls
- infinite delay
- analytic α-resolvent operator
- fixed point theorem.
MSC
- 34G25
- 34H05
- 60H15
- 26A33
- 93E20
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