Abstract: In
this paper, we consider the existence of positive solutions for three-point
fractional differential equation boundary value problems withp-Laplacian
where is the standard
Riemann-Liouvill differentiation, and is
continuous.By using Krasnoselskii’s fixed point theorem and
Leggett-Williams’ theorem, some sufficient conditions for the existence of
positive solutions to the above boundary value problems are obtained. We remove
the condition that the solutions are concave functions. Two examples are given
to illustrate the effectiveness of our results.
Keywords and phrases: p-Laplacian, fractional differential equation, boundary value problem, positive solutions, Green’s function.
