ψ-Hilfer fractional relaxation-oscillation equation

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 a...

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Bibliographic Details
Main Author: Vieira, N. (author)
Other Authors: Ferreira, M. (author), Rodrigues, M. Manuela (author)
Format: bookPart
Language:eng
Published: 2022
Subjects:
Online Access:http://hdl.handle.net/10773/35164
Country:Portugal
Oai:oai:ria.ua.pt:10773/35164
Description
Summary: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.