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Mean Value and Taylor-Type Results for Tempered Fractional Derivatives

  • Jesús A. Rodríguez,
  • César E. Torres Ledesma

摘要

In this paper, we deal with the mean value theorem for tempered fractional operators, some properties with monotone functions and the Taylor theorem for Caputo tempered fractional derivative. Furthermore, we present a geometric interpretation of the Riemann-Liouville tempered fractional integral as a shadow on the wall.