关键词: RiemannLiouville分数阶导数, RiemannStieltjes积分边界条件, 非线性项变号, 不动点定理

Abstract: We considered the existence of positive solutions for a class of nonhomogeneous integral boundary value problems of fractional differential equations with sign changing nonlinearities. By using fixed point theorems of cone expansion and cone compression, we established and proved the existence theorems of positive solutions for the boundary value problem, and gave some examples to illustrate the rationality of the conclusions.

Key words: RiemannLiouville fractional derivative, RiemannStieltjes integral boundary condition, sign changing nonlinearity, fixed point theorem