Variational Procedure for Higher-Derivative Mechanical Models in a Fractional Integral Framework

2018/08/18 by Cresus F. L. Godinho, Godinho, C. F. L., N. Panza +3 · 1 citation
Chemical Engineering · Engineering · #Classical Physics (physics.class-ph) #Composite Structure Analysis and Optimization #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Powder Metallurgy Techniques and Materials #Rheology and Fluid Dynamics Studies

paper · pdf · doi:10.48550/arxiv.1808.08278

openalex publication_date 2018/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present both the Lagrangian and Hamiltonian procedures for treating higher-order equations of motion for mechanical models by adopting the Riemann-Liouville Fractional integral to describe their action. We point out and discuss its efficacy and difficulties. We also present the physical and geometric interpretations for the approach we pursue and present the details of a higher-order harmonic oscillator.

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