English

Fractional-order Variational Derivative

Classical Analysis and ODEs 2015-02-27 v1 Mathematical Physics math.MP

Abstract

We consider some possible approaches to the fractional-order generalization of definition of variation (functional) derivative. Some problems of formulation of a fractional-order variational derivative are discussed. To give a consistent definition of the fractional-order variations, we use a fractional generalization of Gateaux differential.

Keywords

Cite

@article{arxiv.1502.07677,
  title  = {Fractional-order Variational Derivative},
  author = {Vasily E. Tarasov},
  journal= {arXiv preprint arXiv:1502.07677},
  year   = {2015}
}

Comments

23 pages, LaTeX

R2 v1 2026-06-22T08:39:06.552Z