Relaxation and Oscillation Model Using Caputo Fractional Differential Equations

Authors

  • Wildy Ardan Indonesia University of Education
  • Siti Fatimah Indonesia University of Education
  • Kartika Yulianti Indonesia University of Education

DOI:

https://doi.org/10.15575/kubik.v7i2.17929

Keywords:

Caputo fractional derivative, fractional derivative, oscillation, relaxation, viscoelastic

Abstract

The phenomenon of relaxation and oscillation is a common event that is often encountered. Both of these properties can occur in viscoelastic materials even though they do not occur simultaneously. Because the characteristics of viscoelastic materials are difficult to describe using classical-order differential equations, in this study, fractional-order differential equations were used to model each of the relaxation and oscillation phenomena in viscoelastic materials with the help of Laplace transform as a solution method . The solution obtained characterizes the phenomenon of memory effect as well as viscoelastic materials in general. In addition to this phenomenon, several other variables were also found to be the influence of the related material motion dynamics.

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Published

2023-06-05

Issue

Vol. 7 No. 2 (2022): KUBIK: Jurnal Publikasi Ilmiah Matematika

Section

Articles

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