A brief history and exposition of the fundamental theory of fractional calculus

Abstract

The last of a series, in which the following topics are treated: Calculation with the aid of the diffusion theory; reflecting walls; modification of the Brownian movement by outside forces, particularly gravity; suggestions for experimental application; influence of internal forces in concd. solns.; theory of coagulation, general principles; calculation of the effect of an adsorption kernel; complete calculation of coagulation; comparison with the experiments of Zsigmondy, comparison with chem. kinetics; generalization for slow coagulation-laws of similarity; theory of Paine's expts. on SciFinder(R)