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Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu


Asymptotic Behaviour of Discrete Fractional Keynesian Cross Models

Journal of Applied Nonlinear Dynamics 14(4) (2025) 807--818 | DOI:10.5890/JAND.2025.12.004

Sangeeta Dhawan, Jagan Mohan Jonnalagadda

Department of Mathematics, Birla Institute of Technology & Science Pilani, Hyderabad, Telangana, India - 500078

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Abstract

This article considers a fractional analogue of the discrete Keynesian cross model. We propose the corresponding fractional difference equation, which describes the dynamics of national income, and obtain its solution in terms of the discrete Mittag--Leffler function. Further, we discuss the asymptotic behavior of national income described by this solution and offer two numerical examples to show the applicability of established results.

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