2021/08/19 by Luis Fernando López Ríos, Ríos, Luis Fernando López, Julián Bravo‐Castillero +2
Chemical Engineering · Engineering · Mathematics · #35A15 #35L20 #35R11 #74D05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Rheology and Fluid Dynamics Studies #Stability and Controllability of Differential Equations #math.AP #msc:35A15 #msc:35L20 #msc:35R11 #msc:74D05
paper · pdf · doi:10.48550/arxiv.2108.08795
arxiv created 2021/08/19 · openalex publication_date 2021/08/19 · arxiv updated 2021/08/20 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
In this article a theoretical framework for problems involving fractional equations of hyperbolic type arising in the theory of viscoelasticity is presented. Based on the Galerkin method, a variational problem of the fractionary viscoelasticity is studied. An appropriate functional setting is introduced in order to establish the existence, uniqueness and a priori estimates for weak solutions. This framework is developed in close concordance with important physical quantities of the theory of viscoelasticity