Caputo fractional evolution equations in discrete sequences spaces
In this paper, we treat some fractional differential equations on the sequence Lebesgue spaces lp(N0) with p ± 1. The Caputo fractional calculus extends the usual derivation. The operator, associated to the Cauchy problem, is defined by a convolution with a sequence of compact support and belongs to...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:dnet:ucreareposit::870b95e5cf27460a9f7bb807ea393265 |
| Acceso en línea: | https://hdl.handle.net/10902/39808 |
| Access Level: | acceso abierto |
| Palabra clave: | Caputo fractional derivation Convolution product Banach algebras |
| Sumario: | In this paper, we treat some fractional differential equations on the sequence Lebesgue spaces lp(N0) with p ± 1. The Caputo fractional calculus extends the usual derivation. The operator, associated to the Cauchy problem, is defined by a convolution with a sequence of compact support and belongs to the Banach algebra l1(Z). We treat in detail some of these compact support sequences. We use techniques from Banach algebras and a Functional Analysis to explicity check the solution of the problem. |
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