Document details

Distributed-order relaxation-oscillation equation

Author(s): Rodrigues, M. M. ; Ferreira, M. ; Vieira, N.

Date: 2024

Persistent ID: http://hdl.handle.net/10773/42037

Origin: RIA - Repositório Institucional da Universidade de Aveiro


Description

In this short paper, we study the Cauchy problem associated with the forced time-fractional relaxation-oscillation equation with distributed order. We employ the Laplace transform technique to derive the solution. Additionally, for the scenario without external forcing, we focus on density functions characterized by a single order, demonstrating that under these conditions, the solution can be expressed using two-parameter Mittag-Leffler functions.

Document Type Journal article
Language English
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