Caputo Fractional Continuous Cobweb Models

Author

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

Abstract

In this paper, we consider two types of dynamic cobweb models with Caputo fractional derivative. We obtain the analytical solutions, which allow us to provide sufficient conditions for the stability of the equilibrium. In order to illustrate our main results, we present two numerical examples in the end. Some classic results of cobweb models are included in the results obtained in this paper.

Recommended Citation

C. Chen et al., "Caputo Fractional Continuous Cobweb Models," Journal of Computational and Applied Mathematics, vol. 374, Elsevier B.V., Aug 2020.

The definitive version is available at https://doi.org/10.1016/j.cam.2020.112734

Department(s)

Mathematics and Statistics

Keywords and Phrases

Caputo fractional derivative; Cobweb model; Mittag-Leffler function

International Standard Serial Number (ISSN)

0377-0427

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2020 Elsevier B.V., All rights reserved.

Publication Date

01 Aug 2020