Cobweb Model with Conformable Fractional Derivatives

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Veysel Fuat Hatipoglu

Abstract

In this paper, the cobweb model is reformulated in terms of fractional-order derivatives. In particular, we describe linear cobweb models in continuous time by using conformable fractional-order derivatives. Then, the general solutions as well as stability criteria for the proposed models are given. Moreover, the developed models are illustrated with some examples.

Recommended Citation

M. Bohner and V. F. Hatipoglu, "Cobweb Model with Conformable Fractional Derivatives," Mathematical Methods in the Applied Sciences, vol. 41, no. 18, pp. 9010 - 9017, John Wiley & Sons, Dec 2018.

The definitive version is available at https://doi.org/10.1002/mma.4846

Department(s)

Mathematics and Statistics

Comments

TÜBTİAK (the Scientific and Technological Research Council of Turkey) 2219 International Postdoctoral Research Fellowship Program, Grant/Award Number: 1059B191601095

Keywords and Phrases

Calculations; Continuous time systems; Cobweb model; Continuous-time; Developed model; Fractional calculus; Fractional derivatives; Fractional order derivatives; General solutions; Stability criteria; Conformable fractional derivative

International Standard Serial Number (ISSN)

0170-4214; 1099-1476

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 John Wiley & Sons, All rights reserved.

Publication Date

01 Dec 2018