International Journal of Nonlinear Analysis and Applications

Approximate symmetries and conservation laws of forced fractional oscillator

Document Type : Research Paper

Authors

1 School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846--13114, Iran

2 Department of Mathematics, Payame Noor University, Tehran 19395--4697, Iran

Abstract

The approximate equation for the forced fractional oscillator is obtained by approximation of the Riemann- Liouville fractional derivatives. And the approximate symmetries and conservation laws of the forced fractional oscillator are derived when the system is in resonance.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 2
February 2023
Pages 195-205
  • Receive Date: 20 January 2022
  • Revise Date: 01 August 2022
  • Accept Date: 09 November 2022