Discrete Fractional Cobweb Models

Martin Bohner; Jagan Mohan Jonnalagadda

doi:10.1016/j.chaos.2022.112451

Discrete Fractional Cobweb Models

Martin Bohner
, Jagan Mohan Jonnalagadda

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, we propose two types of discrete fractional cobweb models. We derive the analytical solutions of these models and establish sufficient conditions on the stability of their equilibria. We also provide two examples to demonstrate the applicability of our main results.

Original language	American English
Article number	112451
Journal	Chaos, Solitons and Fractals
Volume	162
DOIs	https://doi.org/10.1016/j.chaos.2022.112451
State	Published - Sep 1 2022

Keywords

Caputo Nabla Fractional Difference
Cobweb Model
Equilibrium
Mittag-Leffler-Type Function
Stability

Disciplines

Applied Mathematics

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10.1016/j.chaos.2022.112451License: CC BY

https://doi.org/10.1016/j.chaos.2022.112451

Cite this

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title = "Discrete Fractional Cobweb Models",

abstract = " In this article, we propose two types of discrete fractional cobweb models. We derive the analytical solutions of these models and establish sufficient conditions on the stability of their equilibria. We also provide two examples to demonstrate the applicability of our main results.",

keywords = "Caputo Nabla Fractional Difference, Cobweb Model, Equilibrium, Mittag-Leffler-Type Function, Stability",

author = "Martin Bohner and Jonnalagadda, \{Jagan Mohan\}",

note = "Publisher Copyright: {\textcopyright} 2022",

year = "2022",

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day = "1",

doi = "10.1016/j.chaos.2022.112451",

language = "American English",

volume = "162",

journal = "Chaos, Solitons and Fractals",

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T1 - Discrete Fractional Cobweb Models

AU - Bohner, Martin

AU - Jonnalagadda, Jagan Mohan

PY - 2022/9/1

Y1 - 2022/9/1

N2 - In this article, we propose two types of discrete fractional cobweb models. We derive the analytical solutions of these models and establish sufficient conditions on the stability of their equilibria. We also provide two examples to demonstrate the applicability of our main results.

AB - In this article, we propose two types of discrete fractional cobweb models. We derive the analytical solutions of these models and establish sufficient conditions on the stability of their equilibria. We also provide two examples to demonstrate the applicability of our main results.

KW - Caputo Nabla Fractional Difference

KW - Cobweb Model

KW - Equilibrium

KW - Mittag-Leffler-Type Function

KW - Stability

UR - https://scholarsmine.mst.edu/math_stat_facwork/1117

UR - https://doi.org/10.1016/j.chaos.2022.112451

U2 - 10.1016/j.chaos.2022.112451

DO - 10.1016/j.chaos.2022.112451

M3 - Article

VL - 162

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

M1 - 112451

ER -

Discrete Fractional Cobweb Models

Abstract

Keywords

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