Open Access Research

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

Peng Zhang and Yanping Gong*

Author Affiliations

Business School, Central South University, Changsha, Hunan, 410083, P.R. China

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Boundary Value Problems 2012, 2012:82  doi:10.1186/1687-2770-2012-82

Published: 31 July 2012

Abstract

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.

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