An Expansion Formula for Fractional Derivatives and its Application

Atanackovic, T., and Stankovic, B.. "An Expansion Formula for Fractional Derivatives and its Application." Fractional Calculus and Applied Analysis 7.3 (2004): 365-378. <http://eudml.org/doc/11253>.

@article{Atanackovic2004,
abstract = {An expansion formula for fractional derivatives given as in form of a series involving function and moments of its k-th derivative is derived. The convergence of the series is proved and an estimate of the reminder is given. The form of the fractional derivative given here is especially suitable in deriving restrictions, in a form of internal variable theory, following from the second law of thermodynamics, when applied to linear viscoelasticity of fractional derivative type.},
author = {Atanackovic, T., Stankovic, B.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {26A33},
language = {eng},
number = {3},
pages = {365-378},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {An Expansion Formula for Fractional Derivatives and its Application},
url = {http://eudml.org/doc/11253},
volume = {7},
year = {2004},
}

TY - JOUR
AU - Atanackovic, T.
AU - Stankovic, B.
TI - An Expansion Formula for Fractional Derivatives and its Application
JO - Fractional Calculus and Applied Analysis
PY - 2004
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 7
IS - 3
SP - 365
EP - 378
AB - An expansion formula for fractional derivatives given as in form of a series involving function and moments of its k-th derivative is derived. The convergence of the series is proved and an estimate of the reminder is given. The form of the fractional derivative given here is especially suitable in deriving restrictions, in a form of internal variable theory, following from the second law of thermodynamics, when applied to linear viscoelasticity of fractional derivative type.
LA - eng
KW - 26A33
UR - http://eudml.org/doc/11253
ER -