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- 2.1 Special Functions
- 2.2 Definitions of Fractional Derivatives and Integrals
- 2.3 Gr¨unwald-Letnikov Fractional Integrals and Derivatives
- 2.4 Riemann-Liouville Fractional Integrals and Derivatives
- 2.5 Caputo Fractional Derivatives
- 2.6 Laplace Transform Method
- 2.6.1 Basic Facts about the Laplace Transform
- 2.6.2 Laplace Transform of Fractional Integrals
- 2.6.3 Laplace Transform of Fractional Derivatives
- 2.7 Fourier Transform Method
- 2.7.1 Basic Facts about the Fourier Transform
- 2.7.2 Fourier Transform of Fractional Integrals
- 2.7.3 Fourier Transform of Fractional Derivatives
- 2.8 Some Properties of Fractional Derivatives and Integrals
- 2.9 Numerical Methods for Calculation of Fractional Derivatives and Integrals
- 2.10 Fractional Calculus and Electricity
- 2.10.1 Analogue Fractional-Order Circuits
- 2.10.2 Experimental Measurement
- 2.10.3 Additional Remarks
- References