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Fractional Variational Principle of Herglotz
Ricardo Almeida, Agnieszka B. Malinowska
The aim of this paper is to bring together two approaches to non-conservative systems -- the generalized variational principle of Herglotz and the fractional calculus of variations…
A Discrete Method to Solve Fractional Optimal Control Problems
Ricardo Almeida, Delfim F. M. Torres
We present a method to solve fractional optimal control problems, where the dynamic depends on integer and Caputo fractional derivatives. Our approach consists to approximate the i…
A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives
Ricardo Almeida, Nuno R. O. Bastos, Delfim F. M. Torres
We provide a fast and simple method to solve fractional variational problems with dependence on Hadamard fractional derivatives. Using a relation between the Hadamard fractional op…