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This work aims to develop a generalized fractional cobweb model for predicting market behavior and equilibrium prices.

March 2, 2026Open Access

A Generalized Weighted Fractional Cobweb Model for Dynamic Market Adjustment

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This work aims to develop a generalized fractional cobweb model for predicting market behavior and equilibrium prices.
Proposed a dynamic market equilibrium model using a Mittag-Leffler kernel and weighted fractional derivatives.
Established well-posedness through an equivalent Volterra integral formulation.
Derived stability conditions and characterized constant equilibrium prices.
Constructed an explicit Volterra partition scheme for simulations.
Validated the model with numerical examples to show effects of fractional orders and weights.
The model allows for independent fractional orders, enhancing market response to price changes.
Simulation results indicate transient oscillations influenced by fractional orders and weight functions.
Characterized conditions under which equilibrium prices remain economically viable.

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Dynamic market adjustment is modeled using a fractional approach, highlighting implications for equilibrium pricing.

Madani et al. (2026) studied this question.

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