Abstract
In this chapter we derive the Green’s function for the fractional boundary value problem (FBVP)
where ν ∈ (1, 2] and \(b \in \mathbb{N}_{0}\).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Bibliography
Atici, F.M., Eloe, P.W.: Two-point boundary value problems for finite fractional difference equations. J. Differ. Equ. Appl. 17, 445–456 (2011)
Awasthi, P.: Boundary value problems for discrete fractional equations. PhD Dissertation, University of Nebraska-Lincoln (2013)
Awasthi, P.: Existence and uniqueness of solutions of a conjugate fractional boundary value problem. Commun. Appl. Anal. 16, 529–540 (2012)
Awasthi, P., Erbe, L., Peterson, A.: Existence and uniqueness results for positive solutions of a nonlinear fractional difference equation. Commun. Appl. Anal. 19, 61–78 (2015)
Kelley, W.G., Peterson, A.C.: Difference Equations: An Introduction with Applications, Second Edition. Academic Press, New York (2001)
Zeidler, E. (Wadsack, P.R. trans.): Nonlinear Functional Analysis and its Applications: Part 1: Fixed-Point Theorems. Springer, New York (1986)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Goodrich, C., Peterson, A.C. (2015). Fractional Boundary Value Problems. In: Discrete Fractional Calculus. Springer, Cham. https://doi.org/10.1007/978-3-319-25562-0_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-25562-0_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-25560-6
Online ISBN: 978-3-319-25562-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)