An Application of Fractional Calculus to Column Theory
General Mathematics
2025-07-02 v1
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.
Keywords
Cite
@article{arxiv.2507.00021,
title = {An Application of Fractional Calculus to Column Theory},
author = {José Villa-Morales and Manuel Ramírez-Aranda},
journal= {arXiv preprint arXiv:2507.00021},
year = {2025}
}
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15 pages