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arXiv · 0711.2567

Fractional Derivative as Fractional Power of Derivative

Vasily E. Tarasov
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Abstract

Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator. Fractional generalization of concept of stability is considered.

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Vasily E. Tarasov. 2007-11-16. Fractional Derivative as Fractional Power of Derivative. https://doi.org/10.1142/s0129167x07004102

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