JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (12): 81-88.doi: 10.6040/j.issn.1671-9352.0.2017.089
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CUI Jing, LIANG Qiu-ju
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[1] DUNCAN T E, PASIKDUNCAN B, MASLOWSKI B. Fractional Brownian motion and stochastic equations in Hilbert spaces[J]. Stochastics and Dynamics, 2011, 2(2):225-250. [2] FEYEL D, PRADELLE A D L. On fractional Brownian processes[J]. Potential Analasis, 1999, 10(3):273-288. [3] CHRISTODOULOU-VOLOS C, SIOKIS F M. Long range dependence in stock market returns[J]. Applied Financial Economics, 2006, 16(18):1331-1338. [4] MASLOWSKI B, NUALART D. Evolution equations driven by a fractional Brownian motion[J]. Journal of Functional Analasis, 2003, 202(1):277-305. [5] MILLER R K. An integro-differential equation for heat conductors with memory[J]. Journal of Mathematical Analasis and Applications, 1978, 66(2):313-332. [6] LAKSMIKANTHAM V, RAMA M R M. Theory of integro-differential Equations[M]. London: Gordon and Breach Science, 1995: 275-283. [7] LEVIN J J, NOHEL J A. The integro-differential equations of a class of nuclear reactors with delayed neutrons[J]. Archive for Rational Mechanics Analysis, 1968, 31(2):151-172. [8] DEBBOUCHE A, BALEANU D. Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems[J]. Computers Mathematics with Applications, 2015, 62(3):1442-1450. [9] BALACHANDRANK K, DIVYA S, RIVERO M, et al. Controllability of nonlinear implicit neutral fractional volterra integrodifferential systems[J]. Journal of Vibration and Control, 2015, 21(9):641-646. [10] AISSANI K, BENCHOHRA M. Controllability of fractional integrodifferential equations with state-dependent delay[J]. Integral Equations and Applications, 2015, 28(2):149-167. [11] LAKHEL E H. Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion[J]. Stochastic Analysis and Applications, 2016, 34(3):427-440. [12] CUI Jing, YAN Litan. Controllability of neutral stochastic evolution equations driven by fractional Brownian motion[J]. Acta Mathematica Scientia, 2017, 37B(1):1-12. [13] BYSZEWSKI L. Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem[J]. Journal of Mathematical Analysis and Applications, 1991, 162(2):494-505. [14] KENG Deng. Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions[J]. Journal of Mathematical Analysis and Applications, 1993, 179(2):630-637. [15] DEBBOUCHE A. Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems[J]. Advances in Difference Equations, 2011, 2011(1):1-10. [16] DEBBOUCHE A. Fractional evolution integro-differential systems with nonlocal conditions[J]. Advances in Dynamical Systems and Applications, 2010, 5(1):49-60. [17] LI Fang. Existence and uniqueness of mild solution for fractional intergrodifferential equations of neutral type with nonlocal conditions[J]. Mathematica Slovaca, 2012, 62(5):921-936. [18] CUI Jing, WANG Zhi. Nonlocal stochastic integro-differential equations driven by fractional Brownian motion[J]. Advances in Difference Equations, 2016, 2016(1):115. [19] NUALART D. The Malliavin calculus and related topics[M]. Berlin: Springer-Verlag, 2006. [20] GRIMMER R C. Resolvent operators for Integral equations in a Banach space[J]. Transactions of the American Mathematical Society, 1982, 273(1):333-349. [21] KLAMKA J. Stochastic controllability of linear systems with delay in control[J]. Bulletin of the Polish Academy of Sciences Technical Sciences, 2007, 55(1):23-29. |
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