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Nonlinear fractional relaxation

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Abstract

We define a nonlinear model for fractional relaxation phenomena. We use ε-expansion method to analyse this model. By studying the fundamental solutions of this model we find that when t → 0 the model exhibits a fast decay rate and when t → ∞ the model exhibits a power-law decay. By analysing the frequency response we find a logarithmic enhancement for the relative ratio of susceptibility.

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Authors and Affiliations

  1. Department of Physics, Faculty of Basic Science, University of Mazandaran, P.O. Box 47416-1467, Babolsar, Iran

    A TOFIGHI

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  1. A TOFIGHI
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Correspondence to A TOFIGHI.

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TOFIGHI, A. Nonlinear fractional relaxation. Pramana - J Phys 78, 549–554 (2012). https://doi.org/10.1007/s12043-012-0264-y

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