A Conformable Fractional Calculus on Arbitrary Time Scales
| Autor: | Benkhettou, Nadia, Hassani, Salima, Torres, Delfim F. M. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | J. King Saud Univ. Sci. 28 (2016), no. 1, 93--98 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.jksus.2015.05.003 |
| Popis: | A conformable time-scale fractional calculus of order $\alpha \in ]0,1]$ is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger time-scale calculus is obtained as a particular case, by choosing $\alpha = 1$. Comment: This is a preprint of a paper whose final and definite form is in Journal of King Saud University (Science), ISSN 1018-3647. Paper submitted 14/April/2015; revised 12/May/2015; accepted for publication 12/May/2015. arXiv admin note: text overlap with arXiv:1405.2813 |
| Databáze: | arXiv |
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