Tootfinder

Financial Interactions and Collective States Part I. Investors and Firms
Pierre Gosselin (IF), A\"ileen Lotz
https://arxiv.org/abs/2509.06377 https://…

Financial Interactions and Collective States Part I. Investors and Firms
In a series of papers, we applied a field formalism to analyze capital allocation and accumulation within a microeconomic framework of investors and firms. Financial agents could invest in both firms and other investors, while banks, introduced as investors with a credit multiplier, played a stabilizing or destabilizing role. Two types of interactions were considered within the financial sector: financial agents could either lend capital to or buy shares of other investors. We examined the coll…

A Solow-Swan framework for economic growth with memory effect
M. O. Aibinu, K. J. Duffy, S. Moyo
https://arxiv.org/abs/2508.20100 https://arxiv.org/pdf/250…

A Solow-Swan framework for economic growth with memory effect
The Solow-Swan equation is a cornerstone in the development of modern economic growth theory and continues to attract significant scholarly attention. This study incorporates memory effects into the classical Solow-Swan model by introducing a formulation based on the Caputo fractional derivative. A comparative analysis is conducted between the integer-order and fractional-order versions of the model to examine the influence of fractional dynamics on capital accumulation. The findings reveal tha…

Analysis of Solow-Swan model with nonlocal fractional derivative operator
MO Aibinu, KJ Duffy, S Moyo
https://arxiv.org/abs/2508.06883 https://arxiv.org/pd…

Analysis of Solow-Swan model with nonlocal fractional derivative operator
The Solow-Swan equation is a foundational model in the evolution of modern economic growth theory. It offers key insights into the long-term behaviour of capital accumulation and output. Since its inception, the model has served as a cornerstone for understanding macroeconomic dynamics and has inspired a vast body of subsequent research. However, traditional formulations of the Solow-Swan model rely on integer-order derivatives, which may not fully capture the memory and hereditary properties o…