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Introduction to fractional integrability and differentiability

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Abstract.

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.

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  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    C.P. Li & Z.G. Zhao

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  1. C.P. Li
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  2. Z.G. Zhao
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Correspondence to C.P. Li or Z.G. Zhao.

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Li, C., Zhao, Z. Introduction to fractional integrability and differentiability. Eur. Phys. J. Spec. Top. 193, 5–26 (2011). https://doi.org/10.1140/epjst/e2011-01378-2

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