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arXiv · 0909.0387

On q-fractional derivatives of Riemann--Liouville and Caputo type

Miomir S. Stankovic·Predrag M. Rajkovic·Sladjana D. Marinkovic
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Abstract

Based on the fractional $q$-integral with the parametric lower limit of integration, we define fractional $q$-derivative of Riemann-Liouville and Caputo type. The properties are studied separately as well as relations between them. Also, we discuss properties of compositions of these operators.

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Miomir S. Stankovic, Predrag M. Rajkovic, Sladjana D. Marinkovic. 2009-09-02. On q-fractional derivatives of Riemann--Liouville and Caputo type. https://arxiv.org/abs/0909.0387

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