Multiple positive solutions for nonlinear semipositone fractional differential equations (Q764594)

Summary: We present some new multiplicity results for positive solutions results of the nonlinear semipositone fractional boundary value problem \[ D^\alpha_{0+} u(t) = p(t)f(t, u(t)) - q(t),~ 0 < t < 1, \] \[ u(0) = u(1) = u'(1) = 0, \] where \(2 < \alpha \leq 3\) is a real number and \(D^\alpha_{0+}\) is the standard Riemann-Liouville derivative. One example is given to illustrate the main result.