A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives
Optimization and Control
2014-05-07 v1
Abstract
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 operator and a sum involving integer-order derivatives, we rewrite the fractional problem into a classical optimal control problem. The latter problem is then solved by application of standard numerical techniques. We illustrate the procedure with an example.
Cite
@article{arxiv.1402.3730,
title = {A Discretization Method to Solve Fractional Variational Problems with Dependence on Hadamard Derivatives},
author = {Ricardo Almeida and Nuno R. O. Bastos and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1402.3730},
year = {2014}
}
Comments
This is a preprint of a paper whose final and definite form will appear in International Journal of Difference Equations, ISSN 0973-6069 (See http://campus.mst.edu/ijde). Submitted Nov 23, 2013; Revised Jan 27, 2014; Accepted Feb 15, 2014