Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay


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.


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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


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