Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions

Boundary value problems

Yanping Gong¹  Peng Zhang¹ 

[1] Business School, Central South University, Changsha, P.R. China

关键词: fractional differential inclusions;    nonsmooth critical point theory;    boundary value problem;    variational methods;   

DOI  :  10.1186/1687-2770-2012-82

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence and multiplicity results of solutions for some class of fractional differential inclusions with boundary conditions. Some existence and multiplicity results of solutions are given by using the least action principle and minmax methods in nonsmooth critical point theory. Recent results in the literature are generalized and improved. Some examples are given in the paper to illustrate our main results. MSC:26A33, 26A42, 58E05, 70H05.

【 授权许可】

CC BY