Authors: | Rajković, Predrag Marinković, Slađana Stanković, Miomir |
Title: | Fractional integrals and derivatives in q-calculus | Journal: | Applicable Analysis and Discrete Mathematics | Volume: | 1 | Issue: | 1 | First page: | 311 | Last page: | 323 | Issue Date: | 1-Apr-2007 | ISSN: | 14528630 | DOI: | 10.2298/AADM0701311R | Abstract: | We generalize the notions of the fractional q-integral and q-derivative by introducing variable lower limit of integration. We discuss some properties and their relations. Finally, we give a q-Taylor-like formula which includes fractional q-derivatives of the function. |
Keywords: | Basic hypergeometric functions | Fractional calculus | q-derivative | q-integral |
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