Date of Award
January 2015
Degree Type
Open Access Thesis
Document Type
Master Thesis
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
First Advisor
Jeffrey T. Neugebauer
Department Affiliation
Mathematics and Statistics
Second Advisor
Donald Jason Gibson
Department Affiliation
Mathematics and Statistics
Third Advisor
Steve Szabo
Department Affiliation
Mathematics and Statistics
Abstract
In this paper we will consider an nth order fractional boundary value problem with boundary conditions that include a fractional derivative at 1. We will develop properties of the Green's Function for this boundary value problem and use these properties along with the Contraction Mapping Principle, and the Schuader's, Krasnozel'skii's, and Legget-Williams fixed point theorems to prove the existence of positive solutions under different conditions.
Copyright
Copyright 2015 Christina Ashley Hollon
Recommended Citation
Hollon, Christina Ashley, "Existence of Positive Solutions to a Family of Fractional Two-Point Boundary Value Problems" (2015). Online Theses and Dissertations. 276.
https://encompass.eku.edu/etd/276
