Document Type
Article
Publication Date
10-2020
Publication Source
Discrete & Continuous Dynamical Systems - S
Abstract
The quasilinearization method is applied to a boundary value problem at resonance for a Riemann-Liouville fractional differential equation. Under suitable hypotheses, the method of upper and lower solutions is employed to establish uniqueness of solutions. A shift method, coupled with the method of upper and lower solutions, is applied to establish existence of solutions. The quasilinearization algorithm is then applied to obtain sequences of lower and upper solutions that converge monotonically and quadratically to the unique solution of the boundary value problem at resonance.
Inclusive pages
2719-2734
ISBN/ISSN
Print: 1937-1632; Electronic: 1937-1179
Document Version
Postprint
Publisher
American Institute of Mathematical Sciences
Volume
13
Issue
10
Peer Reviewed
yes
eCommons Citation
Eloe, Paul W. and Jonnalagadda, Jaganmohan, "Quasilinearization Applied to Boundary Value Problems at Resonance for Riemann-Liouville Fractional Differential Equations" (2020). Mathematics Faculty Publications. 212.
https://ecommons.udayton.edu/mth_fac_pub/212
Comments
The document available for download is the author's accepted manuscript, provided in compliance with the publisher's policy on self-archiving. Permission documentation is on file. To view the version of record, use the DOI: https://doi.org/10.3934/dcdss.2020220