%0 Journal Article
%T Fractional Versions of the Fundamental Theorem of Calculus
%A Eliana Contharteze Grigoletto
%A Edmundo Capelas de Oliveira
%J Applied Mathematics
%P 23-33
%@ 2152-7393
%D 2013
%I Scientific Research Publishing
%R 10.4236/am.2013.47A006
%X The concept of fractional integral in the Riemann-Liouville, Liouville, Weyl and Riesz sense is presented. Some properties involving the particular Riemann-Liouville integral are mentioned. By means of this concept we present the fractional derivatives, specifically, the Riemann-Liouville, Liouville, Caputo, Weyl and Riesz versions are discussed. The so-called fundamental theorem of fractional calculus is presented and discussed in all these different versions.
%K Fractional Integral
%K Fractional Derivative
%K Riemann-Liouville Derivative
%K Liouville Derivative
%K Caputo Derivative
%K Weyl Derivative and Riesz Derivative
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=34039