An Application of Fractional Calculus to Column Theory
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.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Thermoelastic and Magnetoelastic Phenomena
Composite Structure Analysis and Optimization
Publication details
- Journal / source
- Mathematical and Computational Applications
- Volume
- 31
- Issue
- 4
- Pages
- 148–148
- Publication date
- 1 August 2026
- Language
- EN