We de???ne a nonlinear model for fractional relaxation phenomena. We use e??€-expansion method to analyse this model. By studying the fundamental solutions of this model we ???nd that when e?‘? a?’ 0 the model exhibits a fast decay rate and when e?‘? a?’ a?? the model exhibits a power-law decay. By analysing the frequency response we ???nd a logarithmic enhancement for the relative ratio of susceptibility.
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