Method of Upper and Lower Solutions for Nonlinear Caputo Fractional Difference Equations and its Applications

Author

Churong Chen
Martin Bohner, Missouri University of Science and TechnologyFollow
Baoguo Jia

Abstract

In this paper, we extend the applications of the method of upper and lower solutions for a class of nonlinear nabla fractional difference equations involving Caputo derivative. We obtain the existence of coupled minimal and maximal solutions which constructed by two monotone sequences. In order to illustrate our main results, we present two numerical examples in the end.

Recommended Citation

C. Chen et al., "Method of Upper and Lower Solutions for Nonlinear Caputo Fractional Difference Equations and its Applications," Fractional Calculus and Applied Analysis, vol. 22, no. 5, pp. 1307 - 1320, De Gruyter, Oct 2019.

The definitive version is available at https://doi.org/10.1515/fca-2019-0069

Department(s)

Mathematics and Statistics

Keywords and Phrases

Caputo derivative; method of upper and lower solutions; nabla difference equation

International Standard Serial Number (ISSN)

1311-0454; 1314-2224

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 Diogenes Co., All rights reserved.

Publication Date

01 Oct 2019