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On the Worldwide Trade Dynamics: Some Fractional Aspects, Extremal Trade Constellations and the Therewith Corresponding Entropy, Restructuring the Trade Environment, and Fundamental Relations

DOI: 10.4236/tel.2026.164047, PP. 855-879

Keywords: Space-Time Fractional Diffusion of Varying Order, Entropy on Fractal Structures, Morse Potential, Small-World Networks, The Albert-László-Barabási Model, Topologically Induced Diffusion

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Abstract:

This paper applies fractional diffusion, the CTRW concept, entropy, and small-world network concepts to global export-import dynamics. It estimates space- and time-fractality orders from trade data, developing a varying order interpretation, and discusses several stylized scenarios for protection, clustering, liberalization, and finance-trade restructuring. The main claim is that global trade dynamics exhibit a subdiffusive character and that entropy changes are connected with fractality order and network structure.

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