摘要

In this article, the existence of multiple positive solutions of boundaryvalue problems for nonlinear singular fractional order elastic beam equations is established. Here f depends on x, x' and x", f may be singular at t = 0 and t = 1 and f is non-Caratheodory function. The analysis relies on the well known Schauder fixed point theorem and the five functional fixed point theorems in the cones.