infinitely many positive solutions for fractional differential inclusions

infinitely many positive solutions for fractional differential inclusions

;Ge Bin;Ying-Xin Cui;Ji-Chun Zhang
icsoft 2006 - 1st international conference on software and data technologies, proceedings 2016 Vol. 2016 pp. 1-18
98
bin2016electronicinfinitely

Abstract

In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under suitable oscillatory assumptions on the potential $F$ at zero or at infinity.

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