Nature's Patterns and the Fractional Calculus
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Nature's Patterns and the Fractional Calculus

Bruce J. West

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eBook - ePub

Nature's Patterns and the Fractional Calculus

Bruce J. West

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About This Book

Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system's functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system's information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences.

Contents
Complexity
Empirical allometry
Statistics, scaling and simulation
Allometry theories
Strange kinetics
Fractional probability calculus

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Information

Publisher
De Gruyter
Year
2017
ISBN
9783110534276
Edition
1
Topic
Matematica
Subtopic
Analisi complessa

Table of contents