Modeling and analysis of demand-supply dynamics with a collectability factor using delay differential equations in economic growth via the Caputo operator

What is it about?

Example1 The studies how demand and supply evolve over time in an economy when collectability (how desirable/rare something is) affects behavior, using delay differential equations with fractional (Caputo) derivatives to capture memory effects and delayed responses in economic growth. Example 2 It is about mathematically modeling economic growth by analyzing how demand, supply, and collectability interact over time, while accounting for delays and memory effects using fractional (Caputo) differential equations.

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Why is it important?

Example1 It’s important because it captures real-world economic behavior more accurately—people and markets respond with delays and memory, and collectability influences demand beyond price. Using fractional (Caputo) models helps predict stability, cycles, and growth trends better than classical models, improving economic planning and policy decisions. Example 2 It is important because it captures real-world economic memory and time delays (like consumer habits and production lags), leading to more realistic and stable policy and growth predictions than classical models.

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