DECAY SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL VARIATIONAL INEQUALITIES

被引:81
作者
Tran Dinh Ke [1 ]
Nguyen Van Loi [2 ]
Obukhovskii, Valeri [3 ]
机构
[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam
[2] PetroVietNam Univ, Fac Fundamental Sci, Ba Ria, Vietnam
[3] Voronezh State Pedag Univ, Fac Math & Phys, Voronezh 394043, Russia
基金
俄罗斯科学基金会;
关键词
differential variational inequality; fixed point; measure of noncompactness; MNC estimate; functional differential inclusion; condensing operator; CONTROLLABILITY;
D O I
10.1515/fca-2015-0033
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Our aim is to study a new class of differential variational inequalities involving fractional derivatives. Using the fixed point approach, the existence of decay solutions to the mentioned problem is proved.
引用
收藏
页码:531 / 553
页数:23
相关论文
共 29 条
  • [21] EXISTENCE AND GLOBAL BIFURCATION OF PERIODIC SOLUTIONS TO A CLASS OF DIFFERENTIAL VARIATIONAL INEQUALITIES
    Liu, Zhenhai
    Nguyen Van Loi
    Obukhovskii, Valeri
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (07):
  • [22] Obukhovskii V, 2010, FIXED POINT THEOR-RO, V11, P85
  • [23] Differential variational inequalities
    Pang, Jong-Shi
    Stewart, David E.
    [J]. MATHEMATICAL PROGRAMMING, 2008, 113 (02) : 345 - 424
  • [24] Podlubny I., 1999, Mathematics in Science and Engineering
  • [25] INVARIANCE OF THE REACHABLE SET UNDER NONLINEAR PERTURBATIONS
    SEIDMAN, TI
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1987, 25 (05) : 1173 - 1191
  • [26] On a class of fractional order differential inclusions with infinite delays
    Tran Dinh Ke
    Obukhovskii, Valeri
    Wong, Ngai-Ching
    Yao, Jen-Chih
    [J]. APPLICABLE ANALYSIS, 2013, 92 (01) : 115 - 137
  • [27] Abstract fractional Cauchy problems with almost sectorial operators
    Wang, Rong-Nian
    Chen, De-Han
    Xiao, Ti-Jun
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (01) : 202 - 235
  • [28] Zecca P, 2001, Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces
  • [29] Existence of mild solutions for fractional neutral evolution equations
    Zhou, Yong
    Jiao, Feng
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1063 - 1077