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 AM  Vol.4 No.7 A , July 2013
Fractional Versions of the Fundamental Theorem of Calculus
Abstract: 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.
Cite this paper: E. Grigoletto and E. Oliveira, "Fractional Versions of the Fundamental Theorem of Calculus," Applied Mathematics, Vol. 4 No. 7, 2013, pp. 23-33. doi: 10.4236/am.2013.47A006.
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