Deflection of Beams Modeled by Fractional Differential Equations
Open Access
- 27 October 2022
- journal article
- research article
- Published by MDPI AG in Fractal and Fractional
- Vol. 6 (11) , 626
Abstract
Using the concept of a fractional derivative, in Caputo’s sense, we derive and solve a fractional differential equation that models the deflection of beams. The scheme to introduce the fractional concept can be used for different situations; in the article, we only consider four cases as an example of its usefulness. In addition, we establish a relationship between the fractional index and the level of stiffness (or flexibility) of the material with which the beam is made.Keywords
Funding Information
- Universidad Autónoma de Aguascalientes (PIM22-1, PIM21-3, PIM23-6)
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