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《Acta Mathematica Sinica(Chinese Series)》 2019-01
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The Random Attractors for a Class of Nonautonomous Fractional Stochastic Wave Equations

Hui Xia WEN;Ji SHU;Lin Fang LI;College of Mathematics and Software Science,Sichuan Normal University;  
We consider the asymptotic behavior of non-autonomous stochastic fractional wave equations on an unbounded domain R~n. We firstly transform the equation into a random equation whose solutions generate a random one system. Then we establish the asymptotical compactness of the system by the splitting technique. Finally the existence of random attractors is proved.
【Fund】: 国家自然科学基金资助项目(11371267 11571245);; 四川省科技厅应用基础计划项目(2016JY0204)
【CateGory Index】: O175.29
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 HAN Ying-hao;YU Ji-xia;WANG Hong-quan;School of Mathematics,Liaoning Normal University;;Pullback Attractor for Stochastic Wave Equations with Memory Term on Unbounded Domains[J];大连民族学院学报;2014-01
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 HAN Yinghao, HE Yajing,SU Hong (School of Mathematics,Liaoning Normal University,Dalian 116029,China);The existence of pullback attractor for non-autonomous reaction-diffusion equations with memory term on R~n[J];辽宁师范大学学报(自然科学版);2012-04
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