# Fractional Integrals and Derivatives: Theory and Applications

@inproceedings{Samko1993FractionalIA, title={Fractional Integrals and Derivatives: Theory and Applications}, author={Stefan Samko and Anatoly A. Kilbas and O. I. Marichev}, year={1993} }

Fractional integrals and derivatives on an interval fractional integrals and derivatives on the real axis and half-axis further properties of fractional integrals and derivatives other forms of fractional integrals and derivatives fractional integrodifferentiation of functions of many variables applications to integral equations of the first kind with power and power-logarithmic kernels integral equations fo the first kind with special function kernels applications to differential equations.

#### 6,583 Citations

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Fractional integrals, fractional derivatives, fractional integral equations, and fractional differential equations are numerically solved by Sinc methods. Sinc methods are able to deal with… Expand

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A natural consequence of the fractional calculus is its extension to a matrix order of differentiation and integration. A matrix-order derivative definition and a matrix-order integration arise from… Expand

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