# An Expansion Formula for Fractional Derivatives and its Application

Atanackovic, T.; Stankovic, B.

Fractional Calculus and Applied Analysis (2004)

- Volume: 7, Issue: 3, page 365-378
- ISSN: 1311-0454

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topAtanackovic, 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 -

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