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

Miomir S. Stankovic, Predrag M. Rajkovic, Sladjana D. Marinkovic

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 st…