Dynamics of coupled fractional oscillators in a ring

Authors

Elise Stacey G. Agra ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Two methods of solution were used to obtain analytical expressions for the the time fractional dynamics corresponding to i) a system consisting of N identical masses connected by Hookean springs and forming a ring, and ii) a system consisting of one impurity mass and N – 1 identical masses connected by Hookean springs for time-fractional order 1 < α ≤ 2. Solutions in terms of generalized Mittag-Leffler functions were obtained using Laplace transform and matrix methods.

Downloads

Issue

2004: Proceedings of the 22nd Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2004-3C-04

Section

Theoretical and Computational Physics

Published

2004-10-25

How to Cite

[1]

ESG Agra and JPH Esguerra, Dynamics of coupled fractional oscillators in a ring, Proceedings of the Samahang Pisika ng Pilipinas 22, SPP-2004-3C-04 (2004). URL: https://proceedings.spp-online.org/article/view/SPP-2004-3C-04.