We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: , , , , where denotes the standard Riemann-Liouville fractional derivative. Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also given to illustrate the results.
J. Caballero. J. Harjani. K. Sadarangani. "Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order." Abstr. Appl. Anal. 2011 1 - 12, 2011. https://doi.org/10.1155/2011/165641