DOI: 10.3390/mca31040148 ISSN: 2297-8747
An Application of Fractional Calculus to Column Theory
José Villa-Morales, Manuel Ramírez-ArandaIn 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.