Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
作者： Igor Podlubny , B. Nemcovej
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摘要: A solution to the more than 300-years old problem of geometric and physical interpretation of fractional integration and differentiation (ie, integration and differentiation of an arbitrary real order) is suggested for the Riemann-Liouville fractional integration and differentiation, the Caputo fractional differentiation, the Riesz potential, and the Feller potential. It is also generalized for giving a new geometric and physical interpretation of more general convolution integrals of the Volterra type. Besides this, a new physical interpretation is …
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