Abstract
This paper discusses the fractional oscillator equation involving fractional time derivatives of the Riemann-Liouville type. The exact solution of the fractional oscillator equation was obtained. On this basis the correspondence between the fractional time derivative and the dissipative properties was established. The relationship between the order of the fractional time derivative and the dissipative constant was derived. In addition to the exact solution, the perturbation approach was developed as well. It was shown that the perturbation method and exact solution lead to similar results. On the basis of the exact solution, the concept of fractional time evolution was illustrated.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
