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Approximate controllability for stochastic fractional hemivariational inequalities of degenerate type
Fractional Calculus and Applied Analysis ( IF 3 ) Pub Date : 2020-10-01 , DOI: 10.1515/fca-2020-0075
Yatian Pei 1 , Yong-Kui Chang 1
Affiliation  

Abstract This paper is mainly concerned with stochastic fractional hemivariational inequalities of degenerate (or Sobolev) type in Caputo and Riemann-Liouville derivatives with order (1, 2), respectively. Based upon some properties of fractional resolvent family and generalized directional derivative of a locally Lipschitz function, some sufficient conditions are established for the existence and approximate controllability of the aforementioned systems. Particularly, the uniform boundedness for some nonlinear terms, the existence and compactness of certain inverse operator are not necessarily needed in obtained approximate controllability results.

中文翻译:

退化型随机分数半变分不等式的近似可控性

摘要 本文主要研究分别为阶(1, 2)的Caputo和Riemann-Liouville导数中简并(或Sobolev)型的随机分数半变分不等式。基于分数阶分解族的一些性质和局部Lipschitz函数的广义方向导数,为上述系统的存在性和近似可控性建立了一些充分条件。尤其是一些非线性项的一致有界性、某些逆算子的存在性和紧性,在得到的近似可控性结果中并不一定需要。
更新日期:2020-10-01
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