An Application of Fractional Calculus to Column Theory

2025/06/16 by Villa-Morales, José, Ramírez-Aranda, Manuel
#34A08 #34A12 #74A10 #74B05 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2507.00021

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.

Citations

• Constrained euler buckling

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