Psi-Hilfer fractional relaxation-oscillation equation

Vieira, N.; Ferreira, M.; Rodrigues, M.M.

http://hdl.handle.net/10400.8/7585

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Authors

Vieira, N.

Ferreira, M.

Rodrigues, M.M.

Abstract(s)

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.

Keywords

Fractional relaxation-oscillation equation psi-Hilfer derivative Bivariate Mittag-Leffler function

URI

http://hdl.handle.net/10400.8/7585

Citation

N. 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.