Discrete Caputo Delta Fractional Economic Cobweb Models

In this paper, we consider discrete Caputo delta fractional economic cobweb models. To be more specific, we first discuss some properties of discrete Mittag–Leffler functions, particularly the asymptotic behavior. Some sufficient conditions for the stability of solutions of specific fractional diffe...

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Bibliographic Details
Published inQualitative theory of dynamical systems Vol. 22; no. 1
Main Author Chen, Churong
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.03.2023
Springer Nature B.V
Subjects
Asymptotic properties
Difference and Functional Equations
Difference equations
Dynamical Systems and Ergodic Theory
Economic models
Mathematics
Mathematics and Statistics
Cobweb model
Discrete Mittag–Leffler function
39A12
39A70
Caputo
Asymptotic behavior
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Summary:In this paper, we consider discrete Caputo delta fractional economic cobweb models. To be more specific, we first discuss some properties of discrete Mittag–Leffler functions, particularly the asymptotic behavior. Some sufficient conditions for the stability of solutions of specific fractional difference equations are presented. In the end, we conclude with a numerical example.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-022-00708-5