Controllability of Nonlinear Stochastic Fractional Integrodifferential Systems in Hilbert Spaces

机译：希尔伯特空间中非线性随机分数积分积分系统的可控性

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摘要

In this paper we obtain the sufficient conditions for the controllability of nonlinear stochastic fractional integrodifferential systems and nonlinear systems with implicit fractional derivative in Hilbert spaces by using the fixed point technique.

机译：在本文中，通过使用固定点技术，获得了在希尔伯特空间中具有隐式分数衍生物的非线性随机分数积分积分和非线性系统的可控性的充分条件。

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《Conference on non-integer order calculus and its applications》|2016年|xii 512 p.|共11页
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Rajendran Mabel Lizzy;
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正文语种
中图分类微分方程、积分方程;
关键词
Stochastic fractional differential equation; Controllability; Implicit derivative; Integrodifferential equations;

机译：随机分数微分方程;可控性;隐式衍生物;积分积分方程;

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专利

1. BOUNDARY CONTROLLABILITY OF NONLINEAR STOCHASTIC FRACTIONAL SYSTEMS IN HILBERT SPACES [J] . Mabel Lizzy Rajendran, Balachandran Krishnan International Journal of Applied Mathematics and Computer Science . 2018,第1期

机译：希尔伯特空间中非线性随机分数阶系统的边界可控性
2. Boundary controllability of nonlinear stochastic fractional systems in Hilbert spaces [J] . Rajendran Mabel Lizzy, Krishnan Balachandran International journal of applied mathematics and computer science . 2018,第1期

机译：希尔伯特空间中非线性随机分数系统的边界可控性
3. On controllability of some stochastic semilinear integrodifferential systems in Hilbert spaces [J] . M. M. Matar International mathematical forum . 2011,第25a28期

机译：Hilbert空间中某些随机半线性积分微分系统的可控性
4. Controllability of Nonlinear Stochastic Fractional Integrodifferential Systems in Hilbert Spaces [C] . Rajendran Mabel Lizzy Conference on non-integer order calculus and its applications . 2016

机译：Hilbert空间中非线性随机分数阶积分微分系统的可控性
5. Viscosity solutions of second order equations in a separable Hilbert space and applications to stochastic optimal control [D] . Kelome, Djivede Armel 2002

机译：可分离希尔伯特空间中二阶方程的粘滞解及其在随机最优控制中的应用
6. New generalized systems of nonlinear ordered variational inclusions involving ⊕ operator in real ordered Hilbert spaces [O] . Mohd. Sarfaraz, Kottakkaran Sooppy Nisar, Ahmed Morsy, -1

机译：实有序Hilbert空间中涉及⊕算子的非线性有序变分包含的新广义系统
7. Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spacesud [O] . Kerboua Mourad, Debbouche Amar, Baleanu Dumitru 2014

机译：Hilbert空间中Sobolev型分数阶随机非局部非线性微分方程的近似可控性 ud
8. Lower Bounds for Solutions to a Class of Nonlinear Integrodifferential Equations in Hilbert Space. [R] . Bloom, F. 1978

机译：Hilbert空间中一类非线性积分微分方程解的下界。

Controllability of Nonlinear Stochastic Fractional Integrodifferential Systems in Hilbert Spaces

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