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

2009/09/02 by Miomir S. Stankovic, Stankovic, Miomir S., Predrag M. Rajkovic +3
Mathematics · #26A33 #33D60 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:26A33 #msc:33D60

paper · pdf · doi:10.48550/arxiv.0909.0387

arxiv created 2009/09/02 · arxiv updated 2009/12/01

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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