Nature's Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering): 2 - Hardcover

West, Bruce J.

 
9783110534115: Nature's Patterns and the Fractional Calculus (Fractional Calculus in Applied Sciences and Engineering): 2
Hardcover
ISBN 10: 3110534118 ISBN 13: 9783110534115
Publisher: De Gruyter, 2017

Synopsis

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. ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus

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About the Author

Bruce J. West, US Army Research Office, Cary, US

"About this title" may belong to another edition of this title.

Publisher
De Gruyter
Publication date
2017
Language
English
ISBN 10 
3110534118
ISBN 13 
9783110534115
Binding
Hardcover
Edition number
1
Number of pages
213