A mixed nonlinear time-fractional Rayleigh-Stokes equation
. This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a power-type function, a logarithmic function and an inverse time-forcing term. Applying Lagrange’s mean value theorem and the compactness of the Sobolev embeddings, we estimate the co...
| 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:11441/150164 |
| Acceso en línea: | https://hdl.handle.net/11441/150164 https://doi.org/10.3934/dcdss.2022182 |
| Access Level: | acceso abierto |
| Palabra clave: | Fractional Rayleigh-Stokes equation well-posedness local/global existence logarithmic nonlinearity mixed nonlinearity |
| Sumario: | . This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a power-type function, a logarithmic function and an inverse time-forcing term. Applying Lagrange’s mean value theorem and the compactness of the Sobolev embeddings, we estimate the complex Lipschitz property of mixed nonlinearity. We investigate the local well-posed results (local existence, regularity estimate, continuation) of the solutions in Hilbert scales space. Moreover, the global existence theory affiliated to the finite-time blow-up is considered |
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