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

Bagley, 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 -