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arXiv · 2507.00021

An Application of Fractional Calculus to Column Theory

José Villa-Morales·Manuel Ramírez-Aranda
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Abstract

In this article, we employ a fractional version of the radius of curvature in Euler's equation for column buckling, enabling us to derive a fractional differential equation in the Caputo sense. We solve this equation and demonstrate that for certain values of the fractional parameter, there exists a critical buckling force. Additionally, we provide a numerical scheme for accurately approximating this critical force.

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José Villa-Morales, Manuel Ramírez-Aranda. 2025-06-16. An Application of Fractional Calculus to Column Theory. https://arxiv.org/abs/2507.00021

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