Generalized solutions of the Cauchy problem involving $\Phi$-Caputo fractional derivatives
| Autor: | Abdellah Taqbibt, Latifa El Bezdaoui, M'hamed Elomari, Lalla Saadia Chadli |
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| Jazyk: | English<br />Portuguese |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024) |
| Druh dokumentu: | article |
| ISSN: | 0037-8712 2175-1188 |
| DOI: | 10.5269/bspm.66650 |
| Popis: | The main objective of this research paper is to embed $\Phi$-Caputo fractional derivative in the Colombeau algebra of generalized functions and we investigate the existence and uniqueness of the Cauchy problem involving $\Phi$-Caputo fractional derivatives in the extended Colombeau algebras. Finally, we give an example of how the ideas presented in the document can be applied. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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