Psi-Hilfer fractional relaxation-oscillation equation

• Author(s): Vieira, N. ; Ferreira, M. ; Rodrigues, M.M.
• Date: 2022
• Persistent ID: http://hdl.handle.net/10400.8/7585
• Origin: IC-online
• Subject(s): Fractional relaxation-oscillation equation; psi-Hilfer derivative; Bivariate Mittag-Leffler function
• Document Type: Conference object
• Language: English
• Contributor(s): Repositório IC-Online

Description

In this work, we solve the ψ-Hilfer fractional relaxation-oscillation equation with a force term, where the time-fractional derivatives are in the ψ-Hilfer sense. The solution of the equation is presented in terms of bivariate Mittag-Leffler functions. An asymptotic analysis of the solution of the associated homogeneous equation is performed.