Nabla Euler -Lagrange equations in discrete fractional variational calculus within Riemann and Caputo

Thabet Abdeljawad

Nabla Euler -Lagrange equations in discrete fractional variational calculus within Riemann and Caputo

Classical Analysis and ODEs 2017-03-21 v1

Authors: Thabet Abdeljawad

Abstract

Different fractional difference types of Euler-Lagrange equations are obtained within Riemann and Caputo by making use of different versions of integration by part forumlas in fractional difference calculus. An example is presented to illustrate part of the results.

Keywords

fractional variational calculus nabla operator Euler-Lagrange equations Riemann difference Caputo difference discrete fractional calculus

Cite

@article{arxiv.1703.06751,
  title  = {Nabla Euler -Lagrange equations in discrete fractional variational calculus within Riemann and Caputo},
  author = {Thabet Abdeljawad},
  journal= {arXiv preprint arXiv:1703.06751},
  year   = {2017}
}

Comments

This article was published in International Journal of Mathematics and Computation 22 (1), 144-153 (2014)

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