Abstract:

We studied a class of the boundary value problems for fractional order nonlinear differential equation with Caputo derivative on the half line. Based on the Schauder fixed point theorem and the LeggettWilliams fixed point theorem, the existence theorems of at least one positive solution and at least three positive solutions have been established, respectively for this class of the boundary value problems.

Key words: Caputo derivative, positive solutions, fixed point theorems, half infinite interval