Date of Award

January 2015

Degree Type

Open Access 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.

Included in

Mathematics Commons

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