Erroneous Applications of Fractional Calculus: The Catenary as a Prototype

Gerardo Becerra-Guzmán; José Villa-Morales

doi:10.20944/preprints202406.1534.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 19 June 2024 / Approved: 21 June 2024 / Online: 24 June 2024 (04:15:57 CEST)

In this work, we study the equation of the catenary curve in the context of the Caputo derivative. We solve this equation and compare the solution with real physical models. From the experiments, we find that the best approximation is achieved in the classical case. Therefore, introducing a fractional parameter arbitrarily can be detrimental. However, we observe that when adding a certain weight to the chain, fractional calculus produces better results than classical calculus for modeling the minimum height.

fractional catenary curve; Caputo differential equations; fractional models

Computer Science and Mathematics, Applied Mathematics

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Erroneous Applications of Fractional Calculus: The Catenary as a Prototype

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