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E. Contharteze Grigoletto, “Fractional Differential Equations and the Mittag-Leffler Functions (in Portuguese),” Ph.D. Thesis, UNICAMP, Campinas, to Appear.

has been cited by the following article:

• TITLE: Fractional Versions of the Fundamental Theorem of Calculus

  AUTHORS: Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira

  KEYWORDS: Fractional Integral; Fractional Derivative; Riemann-Liouville Derivative; Liouville Derivative; Caputo Derivative; Weyl Derivative and Riesz Derivative

  JOURNAL NAME: Applied Mathematics, Vol.4 No.7A, July 8, 2013

  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.