and Applied Analysis 3 Inspired by the work of the above papers, the aim of this paper is to establish the existence and multiplicity of positive solutions of the BVP 1.1 . We discuss the boundary value problemwith the Riemann-Stieltjes integral boundary conditions, that is, the BVP 1.1 , which includes fractional order two-point, three-point, multipoint, and nonlocal boundary value problems as...

In mathematical statistics courses, students learn that the quadratic function is minimized when x mean of random variable X, and graphs this for any two distributions X are simply translates each other. We focus on problem minimizing defined by in context mixtures probability discrete, absolutely continuous, singular continuous types. This important, example, Bayesian statistics, one attempts ...

and Applied Analysis 3 2. Preliminaries and Lemmas For the convenience of the reader, we present here some definitions from fractional calculus which are to be used in the later sections. Definition 2.1 see 18–20 . The Riemann-Liouville fractional integral of order α > 0 of a function x : 0, ∞ → R is given by Ix t 1 Γ α ∫ t 0 t − s α−1x s ds 2.1 provided that the right-hand side is pointwise de...