Abstract
In this article, the existence of positive solutions of a boundary value problem for nonlinear singular fractional-order elastic beam equation is established. Here, f depends on t,x, and x′; f may be singular at t = 0 and t = 1; and f is a non-Caratheodory function. The results obtained are based upon fixed-point theorems in a cone in Banach space. An example is included to illustrate the main results. Copyright © 2015 John Wiley & Sons, Ltd.
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