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

Authors: Miomir S. Stankovic, Predrag M. Rajkovic, Sladjana D. Marinkovic
Subjects: Classical Analysis and ODEs

link: http://arxiv.org/abs/0909.0387
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.

Primary-links

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

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