2000 character limit reached
Fractional Herglotz Variational Principles with Generalized Caputo Derivatives (1704.05697v1)
Published 19 Apr 2017 in math.OC, math-ph, and math.MP
Abstract: We obtain Euler-Lagrange equations, transversality conditions and a Noether-like theorem for Herglotz-type variational problems with Lagrangians depending on generalized fractional derivatives. As an application, we consider a damped harmonic oscillator with time-depending mass and elasticity, and arbitrary memory effects.
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.