Abstract:

We discussed the existence of positive solutions for a class of boundary value problems of fractional differential equation with fractional linear differential operator. Based on the LeggettWilliams fixed point theorem and the fixed point theorem in cones, the existence theorems of one positive solution or three positive solutions, existed at least, have been established, respectively.

Key words: fractional linear differential operator, fractional differential equation, boundary value problems, fixed point theorem, positive solutions