Existence of weak solutions to nonlocal PDEs with a generalized definition of Caputo derivative
Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear evolutionary PDEs play crucial roles for the existence of weak solutions to time-fractional PDEs. Based on this fact, in this paper, we consider the existence of weak solutions to a...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/147909 |
| Acceso en línea: | https://hdl.handle.net/11441/147909 https://doi.org/10.1007/s00009-023-02429-8 |
| Access Level: | acceso abierto |
| Palabra clave: | Time fractional PDEs Fractional Laplacian operator Compactness criteria |
| Sumario: | Some compactness criteria that are analogies of the Aubin–Lions lemma for the existence of weak solutions of nonlinear evolutionary PDEs play crucial roles for the existence of weak solutions to time-fractional PDEs. Based on this fact, in this paper, we consider the existence of weak solutions to a kind of partial differential equations with Caputo time-fractional differential operator of order γ∈(0,1) and fractional Laplacian operator (−Δ)α , α∈(0,1). |
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