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

الملخص EN

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)), 00, 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 singular in its dependent variable.

Two examples are also given to illustrate the main results.