Multiple positive solutions for a coupled system of Riemann-Liouville fractional order two-point boundary value problems.

In this paper, we establish the existence of at least three positive solutions for a coupled system of Riemann-Liouville fractional order two-point boundary value problems, by using an Avery generalization of the Leggett-Williams fixed point theorem. And then, we establish the existence of at least 2k - 1 positive solutions to the fractional order boundary value problems for an arbitrary positive integer k. [ABSTRACT FROM AUTHOR]