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We present some new existence results for singular positone and semipositone nonlinear fractional  boundary value problem D0+αu(t)=μa(t)f(t,u(t)),  0<t<1, u(0)=u(1)=u′(0)=u′(1)=0,  where μ>0, a, and f  are continuous, α∈(3,4] is a real number, and   D0+α is Riemann-Liouville fractional derivative. Throughout our nonlinearity may be singularin its dependent variable. Two examples are also given to illustrate the main results

Singular Positone and Semipositone Boundary Value Problems of Nonlinear Fractional Differential Equations