On the existence of solutions of fractional differential equations in Banach spaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909885606658048 |
|---|---|
| author | Oberta, Dušan |
| author_facet | Oberta, Dušan |
| contents | Utilising the notion of measures of non-compactness and Kamke function of order $α$, we address the question of solvability of fractional differential equations in Banach spaces. In particular, we provide sufficient conditions ensuring the existence of a local solution. Our main existence theorem is then applied on countable systems of fractional differential equations arising from semi-discretisation of fractional PDEs with $p$-Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01944 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the existence of solutions of fractional differential equations in Banach spaces Oberta, Dušan Functional Analysis Analysis of PDEs 34G20, 34A08, 34A12, 35K92, 47H08, 65M06 Utilising the notion of measures of non-compactness and Kamke function of order $α$, we address the question of solvability of fractional differential equations in Banach spaces. In particular, we provide sufficient conditions ensuring the existence of a local solution. Our main existence theorem is then applied on countable systems of fractional differential equations arising from semi-discretisation of fractional PDEs with $p$-Laplacian. |
| title | On the existence of solutions of fractional differential equations in Banach spaces |
| topic | Functional Analysis Analysis of PDEs 34G20, 34A08, 34A12, 35K92, 47H08, 65M06 |
| url | https://arxiv.org/abs/2511.01944 |