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Title: ψ-Hilfer fractional relaxation-oscillation equation
Author: Vieira, N.
Ferreira, M.
Rodrigues, M. Manuela
Keywords: Fractional relaxation-oscillation equation
ψ-Hilfer derivative
Bivariate Mittag-Leffler function
Issue Date: 2022
Publisher: School of Engineering, Polytechnic of Porto
Abstract: 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.
Peer review: yes
ISBN: 978-989-53496-3-0
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Appears in Collections:CIDMA - Capítulo de livro
DMat - Capítulo de livro
CHAG - Capítulo de livro

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