Ground state solution for differential equations with left and right fractional derivatives

Abstract

In this work, we study the existence of positive solutions for a class of fractional differential equation given by urn:x-wiley:mma:media:mma3426:mma3426-math-0001 where . Using the mountain pass theorem and comparison argument, we prove that (1) at least has one nontrivial solution. Copyright © 2015 John Wiley & Sons, Ltd.