Introduction to fractional integrability and differentiability
Department of Mathematics, Shanghai University, Shanghai 200444, China
Revised: 27 January 2011
Published online: 4 April 2011
In this paper, we mainly consider fractional integral and derivatives including the Riemann-Liouville derivative, Caputo derivative, Grünwald-Letnikov derivative, Marchaud derivative, Riesz derivative, local fractional derivative, Canavati derivative. Then we introduce their existence conditions. Important issues on these fractional integral and derivatives are also included.
© EDP Sciences, Springer-Verlag, 2011