On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is studied. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, the existence of a mild solution of our problem is proved. The main tool to...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/116564 |
| Acesso em linha: | https://hdl.handle.net/11441/116564 https://doi.org/10.1090/proc/15472 |
| Access Level: | acceso abierto |
| Palavra-chave: | Riemann-Liouville fractional derivative Time diffusion equation well-posedness regularity estimates |
| Resumo: | In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is studied. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, the existence of a mild solution of our problem is proved. The main tool to prove our results is the use of some Sobolev embeddings. |
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