Distributed-order relaxation-oscillation equation

• Autor(es): Rodrigues, M. M. ; Ferreira, M. ; Vieira, N.
• Data: 2024
• Identificador Persistente: http://hdl.handle.net/10773/42037
• Origem: RIA - Repositório Institucional da Universidade de Aveiro
• Tipo de Documento: Artigo científico
• Idioma: Inglês

Descrição

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.