Existence result to boundary value problem for fractional differential equations with anti-periodic boundary conditions

摘要

By the means of the Green's function, the boundary value problem of fractional differential equation can be reduced to the equivalent integral equation. Recently, this method is used successfully to discuss the existence of the solution to boundary value problem of nonlinear fractional differential equation. by employing of Krasnoselskii fixed point theorem and some analysis techniques, some existence results for a differential equation of fractional order with anti-periodic boundary conditions are presented.