Fractional $h$-difference equations arising from the calculus of variations
Classical Analysis and ODEs
2011-03-16 v1 Optimization and Control
Abstract
The recent theory of fractional -difference equations introduced in [N. R. O. Bastos, R. A. C. Ferreira, D. F. M. Torres: Discrete-time fractional variational problems, Signal Process. 91 (2011), no. 3, 513--524], is enriched with useful tools for the explicit solution of discrete equations involving left and right fractional difference operators. New results for the right fractional sum are proved. Illustrative examples show the effectiveness of the obtained results in solving fractional discrete Euler-Lagrange equations.
Cite
@article{arxiv.1101.5904,
title = {Fractional $h$-difference equations arising from the calculus of variations},
author = {Rui A. C. Ferreira and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1101.5904},
year = {2011}
}
Comments
Submitted 15-Aug-2010; revised 16-Jan-2011 and 30-Jan-2011; accepted 31-Jan-2011; for publication in Applicable Analysis and Discrete Mathematics