• Nonlinear fractional relaxation

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      https://www.ias.ac.in/article/fulltext/pram/078/04/0549-0554

    • Keywords

       

      Nonlinear fractional equation; nonlinear fractional relaxation; 𝜖-expansion.

    • 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 $t \to 0$ the model exhibits a fast decay rate and when $t \to \infty$ the model exhibits a power-law decay. By analysing the frequency response we find a logarithmic enhancement for the relative ratio of susceptibility.

    • Author Affiliations

       

      A Tofighi1

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

       
  • Pramana – Journal of Physics | News

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