| Autor: |
Alejandro Mahillo, Pedro J. Miana |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Foundations, Vol 2, Iss 4, Pp 872-884 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2673-9321 |
| DOI: |
10.3390/foundations2040059 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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