• Nonlinear fractional relaxation

• # Fulltext

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

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

• # Pramana – Journal of Physics

Current Issue
Volume 93 | Issue 6
December 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019