Existence of Positive Solutions to a Family of Fractional Two-Point Boundary Value Problems

<p>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. </p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Master's

Discipline thesis:degree_discipline

Mathematics and Statistics

Grantor dc:publisher

Eastern Kentucky University

Year dc:date.available

2015

Author dc:creator

• Hollon, Christina Ashley

• boundary value problems
• differential equations
• fractional calculus
• Krasnoselskii
• leggett williams
• two-point
• Mathematics

Statement dc:rights

• Copyright 2015 Christina Ashley Hollon

Repository record dc:identifier

https://encompass.eku.edu/etd/276

OAI identifier oai:identifier

oai:encompass.eku.edu:etd-1274