Positive solutions for boundary value problems of fractional differential equation with integral boundary conditions (Q1749083)

Summary: By using two fixed-point theorems on cone, we discuss the existence results of positive solutions for the following boundary value problem of fractional differential equation with integral boundary conditions \[ D_{0^+}^\alpha x(t) + a(t) f(t, x(t)) = 0, \quad t \in(0,1), \quad x(0) = x^\prime(0) = 0, \quad x(1) = \int\limits_0^1 x(t)\, \mathrm dA(t). \]