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http://hdl.handle.net/10773/39810| Title: | Existence and uniqueness of solutions to proper fractional Riemann-Liouville initial value problems on time scales |
| Author: | Zine, Nedjoua Bayour, Benaoumeur Torres, Delfim F. M. |
| Keywords: | Fractional calculus Riemann-Liouville operators Dynamic equations Initial value problems Times scales |
| Issue Date: | 2024 |
| Publisher: | CRC Press |
| Abstract: | Inspired in [Appl. Math. Lett. 121 (2021), Paper No. 107407], we study several properties of new Riemann–Liouville fractional operators on time scales. Then we prove sufficient conditions for a nonlinear Riemann-Liouville fractional initial value problem on an arbitrary time scale to have a solution, as well as sufficient conditions for the uniqueness of solution. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/39810 |
| DOI: | 10.1201/9781003388678-13 |
| ISBN: | 978-1-032-48151-7 |
| Publisher Version: | https://doi.org/10.1201/9781003388678-13 |
| Appears in Collections: | CIDMA - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [530]Nedjoua-Zine_Bayour_Torres.pdf | 202.67 kB | Adobe PDF |  |
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