Journal
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Volume 79, Issue -, Pages 59-80Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2014.02.004
Keywords
Maxwell's equations; Viscoelasticity; Dielectrics; Fractional calculus; Generalized derivatives; Wave equation
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A mathematical model of viscoelasticity employing fractional order derivatives is adapted and applied to model the dielectric behavior of materials while remaining consistent with thermodynamic principles. The model is then incorporated into Maxwell's equations using techniques from viscoelasticity. The modified Maxwell's equations are found to yield a fractional order wave equation that is solved analytically and is found to remain consistent with dissipative and dispersive phenomena. Published by Elsevier Ltd.
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