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Mathematics, Vol. 12, Pages 2148: Erroneous Applications of Fractional Calculus: The Catenary as a Prototype
Mathematics doi: 10.3390/math12142148
Authors: Gerardo Becerra-Guzmán José Villa-Morales
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.
