English

Taylor's formula and integral inequalities for conformable fractional derivatives

Classical Analysis and ODEs 2014-09-23 v1

Abstract

We derive Taylor's Formula for conformable fractional derivatives. This is then employed to extend some recent and classical integral inequalities to the conformable fractional calculus, including the inequalities of Steffensen, Chebychev, Hermite-Hadamard, Ostrowski, and Gruss.

Keywords

Cite

@article{arxiv.1409.5888,
  title  = {Taylor's formula and integral inequalities for conformable fractional derivatives},
  author = {Douglas R. Anderson},
  journal= {arXiv preprint arXiv:1409.5888},
  year   = {2014}
}

Comments

17 pages