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

نویسندگان

  • Miomir S. Stanković
  • Predrag M. Rajković
  • Sladjana D. Marinković
چکیده

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. Mathematics Subject Classification: 33D60, 26A33 .

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تاریخ انتشار 2009