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

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

Publisher

American Institute of Mathematical Sciences

Volume

13

Issue

10

Peer Reviewed

yes

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