A remark on local fractional calculus and ordinary derivatives

Ricardo Almeida, Małgorzata Guzowska, and Tatiana Odzijewicz. "A remark on local fractional calculus and ordinary derivatives." Open Mathematics 14.1 (2016): 1122-1124. <http://eudml.org/doc/287967>.

@article{RicardoAlmeida2016,
abstract = {In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.},
author = {Ricardo Almeida, Małgorzata Guzowska, Tatiana Odzijewicz},
journal = {Open Mathematics},
keywords = {Local fractional derivative; Conformable derivative; local fractional derivative; conformable derivative},
language = {eng},
number = {1},
pages = {1122-1124},
title = {A remark on local fractional calculus and ordinary derivatives},
url = {http://eudml.org/doc/287967},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Ricardo Almeida
AU - Małgorzata Guzowska
AU - Tatiana Odzijewicz
TI - A remark on local fractional calculus and ordinary derivatives
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 1122
EP - 1124
AB - In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.
LA - eng
KW - Local fractional derivative; Conformable derivative; local fractional derivative; conformable derivative
UR - http://eudml.org/doc/287967
ER -