| Authors: | Stanković, Miomir S. Rajković, Predrag M. Marinković, Sladjana D. |
Title: | On the fractional q-derivative of caputo type | Journal: | Comptes Rendus de L'Academie Bulgare des Sciences | Volume: | 63 | Issue: | 2 | First page: | 197 | Last page: | 204 | Issue Date: | 11-Mar-2010 | ISSN: | 13101331 | URL: | https://api.elsevier.com/content/abstract/scopus_id/77649296535 | Abstract: | Based on the notion of fractional q-integral with the parametric lower limit of integration, we define fractional q-derivatives of Caputo and Riemann-Liouville type. We study some of their properties as well as the relations be-tween them. Also, the compositions of these operators are considered. |
Keywords: | Basic hypergeometric functions | Fractional calculus | Fractional derivative | Fractional integral | Q-derivative | Q-integral |
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