Document Type
Article
Publication Date
2014
Publication Source
Fractional Calculus and Applied Analysis: An International Journal for Theory and Applications
Abstract
Let b > 0. Let 1 < α ≤ 2. The theory of u 0-positive operators with respect to a cone in a Banach space is applied to study the conjugate boundary value problem for Riemann-Liouville fractional linear differential equations D 0+α u + λp(t)u = 0, 0 < t < b, satisfying the conjugate boundary conditions u(0) = u(b) = 0. The first extremal point, or conjugate point, of the conjugate boundary value problem is defined and criteria are established to characterize the conjugate point. As an application, a fixed point theorem is applied to give sufficient conditions for existence of a solution of a related boundary value problem for a nonlinear fractional differential equation.
Inclusive pages
855-871
ISBN/ISSN
1311-0454
Document Version
Published Version
Volume
17
Issue
3
Peer Reviewed
yes
eCommons Citation
Eloe, Paul W. and Neugebauer, Jeffrey T., "Conjugate points for fractional differential equations" (2014). Mathematics Faculty Publications. 107.
https://ecommons.udayton.edu/mth_fac_pub/107
Comments
This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.