A carregar...
Publicação
Fractional Scale Calculus
| Nome: | Descrição: | Tamanho: | Formato: | |
|---|---|---|---|---|
| 361.69 KB | Adobe PDF |
Orientador(es)
Resumo(s)
A general fractional scale derivative is introduced and studied. Its relation with the Hadamard derivatives is established and reformulated. A new derivative similar to the Grünwald–Letnikov’s is deduced. Tempered versions are also introduced. Scale-invariant systems are described and exemplified. For solving the corresponding differential equations, a new logarithmic Mittag-Leffler series is proposed.
Descrição
Funding Information: The first author was partially funded by National Funds through the Foundation for Science and Technology of Portugal, under the projects UIDB/00066/2020. Publisher Copyright: © 2023 by the authors.
Palavras-chave
Hadamard derivative Liouville derivative logarithmic series scale derivative tempered derivative Analysis Statistical and Nonlinear Physics Statistics and Probability