Predrag M. Rajkovic

  1. 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
    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.

  2. 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
    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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