Smallest Eigenvalues For A Fractional Boundary Value Problem With A Fractional Boundary Condition

<p>We establish the existence of and then compare smallest eigenvalues for the fractional boundary value problems D_(0^+)^α u+λ_1 p(t)u=0 and $D_(0^+)^α u+λ_2 q(t)u=0,0< t< 1, satisfying the boundary conditions when n-1<α≤ n. First, we consider the case when 0<β<n-1, satisfying u^(i) (0)=0, i=0,1,…,n-2,D_(0^+)^β u(1)=0. Then, the case when β=0 is considered, satisfying the conditions u^(i)(0)=0, for i=0,1,…,n-2, and u(1)=0. </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

2016

Author dc:creator

• Koester, Angela

• eigenvalues
• fractional boundary conditions
• fractional boundary value problem
• Algebra

Statement dc:rights

• Copyright 2016 Angela Koester

Repository record dc:identifier

https://encompass.eku.edu/etd/389

OAI identifier oai:identifier

oai:encompass.eku.edu:etd-1387