# On the Equivalence of the Riemann-Liouville and the Caputo Fractional Order Derivatives in Modeling of Linear Viscoelastic Materials

Fractional Calculus and Applied Analysis (2007)

- Volume: 10, Issue: 2, page 123-126
- ISSN: 1311-0454

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topBagley, Ron. "On the Equivalence of the Riemann-Liouville and the Caputo Fractional Order Derivatives in Modeling of Linear Viscoelastic Materials." Fractional Calculus and Applied Analysis 10.2 (2007): 123-126. <http://eudml.org/doc/11321>.

@article{Bagley2007,

abstract = {Mathematics Subject Classification: 26A33In the process of constructing empirical mathematical models of physical phenomena using the fractional calculus, investigators are usually faced with the choice of which definition of the fractional derivative to use, the
Riemann-Liouville definition or the Caputo definition. This investigation
presents the case that, with some minimal restrictions, the two definitions
produce completely equivalent mathematical models of the linear viscoelastic phenomenon.},

author = {Bagley, Ron},

journal = {Fractional Calculus and Applied Analysis},

keywords = {26A33},

language = {eng},

number = {2},

pages = {123-126},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On the Equivalence of the Riemann-Liouville and the Caputo Fractional Order Derivatives in Modeling of Linear Viscoelastic Materials},

url = {http://eudml.org/doc/11321},

volume = {10},

year = {2007},

}

TY - JOUR

AU - Bagley, Ron

TI - On the Equivalence of the Riemann-Liouville and the Caputo Fractional Order Derivatives in Modeling of Linear Viscoelastic Materials

JO - Fractional Calculus and Applied Analysis

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 10

IS - 2

SP - 123

EP - 126

AB - Mathematics Subject Classification: 26A33In the process of constructing empirical mathematical models of physical phenomena using the fractional calculus, investigators are usually faced with the choice of which definition of the fractional derivative to use, the
Riemann-Liouville definition or the Caputo definition. This investigation
presents the case that, with some minimal restrictions, the two definitions
produce completely equivalent mathematical models of the linear viscoelastic phenomenon.

LA - eng

KW - 26A33

UR - http://eudml.org/doc/11321

ER -

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