Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Demonstratio Mathematica

1 2023

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: existence and uniqueness of the solutions

Sortuj według:

Ogranicz wyniki do:

Analytical and numerical analysis of damped harmonic oscillator model with nonlocal operators

Alharthi Nadiyah Hussain, Atangana Abdon, Alkahtani Badr S.

Demonstratio Mathematica

2023

Vol. 56, nr 1

art. no. 20220230

Nonlocal operators with different kernels were used here to obtain more general harmonic oscillator models. Power law, exponential decay, and the generalized Mittag-Leffler kernels with Delta-Dirac property have been utilized in this process. The aim of this study was to introduce into the damped harmonic oscillator model nonlocalities associated with these mentioned kernels and see the effect of each one of them when computing the Bode diagram obtained from the Laplace and the Sumudu transform. For each case, we applied both the Laplace and the Sumudu transform to obtain a solution in a complex space. For each case, we obtained the Bode diagram and the phase diagram for different values of fractional orders. We presented a detailed analysis of uniqueness and an exact solution and used numerical approximation to obtain a numerical solution.