Article
Conjugate points for fractional differential equations
Fractional Calculus and Applied Analysis: An International Journal for Theory and Applications
Document Type
Article
Publication Date
1-1-2014
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
Peer Reviewed
Yes
Disciplines
Citation Information
Paul W. Eloe and Jeffrey T. Neugebauer. "Conjugate points for fractional differential equations" Fractional Calculus and Applied Analysis: An International Journal for Theory and Applications Vol. 17 Iss. 3 (2014) Available at: http://works.bepress.com/paul_eloe/43/
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