The Application of Fractional Calculus in Modeling Economic Growth in Serbia

In this paper, we apply Grünwald–Letnikov-type fractional-order calculus to simulate the growth of Serbia’s gross domestic product (GDP). We also compare the fractional-order model’s results with those of a similar integer-order model. The significance of variables is assessed by the Akaike Information Criterion (AIC). The research demonstrates that the Grünwald–Letnikov fractional-order model provides a more accurate representation compared to the standard integer-order model and performs very accurately in predicting GDP values.

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Publication Details

Journal
Fractal and Fractional
Published
2025-06-16
DOI
https://doi.org/10.3390/fractalfract9060384
Citations
2
Primary Topic
Monetary Policy and Economic Impact
Type
article
Field-Weighted Citation Impact
6.17
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article

The Application of Fractional Calculus in Modeling Economic Growth in Serbia

Ljubivoje Radonjić, Duarte Valério, Enes Kačapor
2 citations
Fractal and Fractional
Monetary Policy and Economic Impact
6.17
article

The Application of Fractional Calculus in Modeling Economic Growth in Serbia

Ljubivoje Radonjić, Duarte Valério, Enes Kačapor
article en
2 citations

Abstract

In this paper, we apply Grünwald–Letnikov-type fractional-order calculus to simulate the growth of Serbia’s gross domestic product (GDP). We also compare the fractional-order model’s results with those of a similar integer-order model. The significance of variables is assessed by the Akaike Information Criterion (AIC). The research demonstrates that the Grünwald–Letnikov fractional-order model provides a more accurate representation compared to the standard integer-order model and performs very accurately in predicting GDP values.

Fractal and FractionalVol. 9(6)
Instituto de Engenharia de Sistemas e Computadores Investigação e Desenvolvimento (PT), University of Lisbon (PT), State University of Novi Pazar (RS)
Openalex Percentile: Top 4%
Monetary Policy and Economic Impact
6.17
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