Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation

Research Projects

Organizational Units

Journal Issue

Events

Abstract

In this work, the study of the fractional behavior of the Bateman-Feshbach-Tikochinsky and Caldirola-Kanai oscillators by using different fractional derivatives is presented. We obtained the Euler-Lagrange and the Hamiltonian formalisms in order to represent the dynamic models based on the Liouville-Caputo, Caputo-Fabrizio-Caputo and the new fractional derivative based on the Mittag-Leffler kernel with arbitrary order . Simulation results are presented in order to show the fractional behavior of the oscillators, and the classical behavior is recovered when is equal to 1.

Description

Keywords

Bateman-Feshbach Tikochinsky Oscillator, Caldirola-Kanai Oscillator, Fractional Operators, Mittag-Leffler Kernel

Turkish CoHE Thesis Center URL

Fields of Science

Citation

Coronel-Escamilla, Antonio...et al. (2017). Bateman-Feshbach Tikochinsky and Caldirola-Kanai Oscillators with New Fractional Differentiation, Entropy, 19(2).

WoS Q

Scopus Q

Source

Entropy

Volume

19

Issue

2

Start Page

End Page