فهرست نشریات علمی دسترسی آزاد ایران

In this article, we verify existence and uniqueness of positive and nondecreasing solution for nonlinear boundary value problem of fractional differential equation in the form $D_{0^{+}}^{alpha}x(t)+f(t,x(t))=0, 0<t<1, 2<alpha<3, x(0)= x'(0)=0, x'(1)=beta x(xi)$, where $D_{0^{+}}^{alpha}$ denotes the standard Riemann-Liouville fractional derivative,$0<xi<1$ and $0<\beta\xi^{\alpha-1}<\alpha-1$ Our analysis relies a fixed point theorem in partially ordered sets. An illustrative example is also presented.