Vieira, N.Ferreira, M.Rodrigues, M.M.2022-08-232022-08-232022-06N. Vieira, M. Ferreira, M.M. Rodrigues, Ψ-Hilfer fractional relaxation-oscillation equation. In International Conference on Mathematical Analysis and Applications in Science and Engineering – Book of Extended Abstracts, C. Pinto, J. Mendonça, L. Babo, D. Baleanu (eds.), Polytechnic of Porto. School of Engineering, Portugal, June 27-29, 2022, 163-166.http://hdl.handle.net/10400.8/7585In 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.engFractional relaxation-oscillation equationpsi-Hilfer derivativeBivariate Mittag-Leffler functionconference object