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Application of fractional calculus to the modeling of the complex magnetic susceptibility for polymeric‐magnetic nanocomposites dispersed into a liquid media
Author(s) -
ReyesMelo M. E.,
GarzaNavarro M. A.,
GonzálezGonzález V. A.,
GuerreroSalazar C. A.,
MartínezVega J.,
OrtizMéndez U.
Publication year - 2009
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.29308
Subject(s) - fractional calculus , nanocomposite , magnetic nanoparticles , materials science , magnetic susceptibility , polymer , physics , calculus (dental) , nanoparticle , composite material , mathematics , mathematical analysis , condensed matter physics , nanotechnology , medicine , dentistry
The objective of the present work is to develop a fractional model which describe in a precisely manner the real and imaginary parts of the complex magnetic susceptibility for polymer‐magnetic nanocomposites dispersed into a liquid media, using differential and/or integral operators of fractional order (fractional calculus). The theoretical results show that the shape of the curves of both real and imaginary parts is depending of the fractional order of this new model named Fractional Magnetic Model (FMM). Moreover, the comparison between theoretical and experimental results show that the FMM describe quite well the complex susceptibility response of the polymeric systems containing magnetic nanoparticles at low frequencies (from 0.1 to 10 5 Hz). © 2009 Wiley Periodicals, Inc. J Appl Polym Sci, 2009