Application of Fractional Calculus to the Modeling of the Complex Magnetic Susceptibility for Polymeric-Magnetic Nanocomposites Dispersed Into a Liquid Media

作者：Reyes Melo M E^*; Garza Navarro M A; Gonzalez Gonzalez V A; Guerrero Salazar C A; Martinez Vega J; Ortiz Mendez U

来源：Journal of Applied Polymer Science, 2009, 112(4): 1943-1948.

DOI：10.1002/app.29308

• fractional calculus
• complex susceptibility
• magnetic nanoparticles, polymeric systems

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).

• 出版日期2009-5-15