Abstract

The goal of establishing a clear relationship between fractial geometry and fractional calculus has been long sought by the scientific community. A number of intuitive or heuris­ tic suggestions in this direction have been made in the last decade, Le Mehaute [1] having come the closest to a rigorous treatment of the problem. In this line of thinking, the paper by Nigmatullin [2] is an attempt to interpret fractional integration in terms of the fractal Cantor set. The author considers the evolution of the state of a physical system through its input-output relation

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