%0 Journal Article
%T On the k-Riemann-Liouville fractional derivative
%A L. G. Romero
%A L. L. Luque
%A G. A. Dorrego
%A R. A. Cerutti
%J International Journal of Contemporary Mathematical Sciences
%D 2013
%I 
%X The main object of this paper is to introduce a new fractional operatorcalled k-Riemann-Liouville fractional derivative defined by usingthe k-Gamma function, which is a generalization of the classicalGamma function. We also investigate relationships with the k-Riemann-Liouville integral and derive some properties by using Fourier and Laplacetransform.
%K k-Fractional Calculus
%K Riemann-Liouville fractional derivative
%K k-Riemann-Liouville singular kernel
%U http://www.m-hikari.com/ijcms/ijcms-2013/1-4-2013/ceruttiIJCMS1-4-2013.pdf