Dynamics of coupled fractional oscillators in a ring

Authors

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

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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.