Nature's Patterns and the Fractional Calculus.
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, comp...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin/Boston, GERMANY :
De Gruyter,
2017.
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| Series: | Fractional calculus in applied sciences and engineering ;
2. |
| Subjects: | |
| Online Access: | CONNECT |
MARC
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| 100 | 1 | |a West, Bruce J. | |
| 245 | 1 | 0 | |a Nature's Patterns and the Fractional Calculus. |
| 260 | |a Berlin/Boston, GERMANY : |b De Gruyter, |c 2017. | ||
| 300 | |a 1 online resource (214) | ||
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| 490 | 1 | |a Fractional Calculus in Applied Sciences and Engineering ; |v 2 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Foreword; Acknowledgement; Contents; 1. Complexity; 2. Empirical allometry; 3. Statistics, scaling and simulation; 4. Allometry theories; 5. Strange kinetics; 6. Fractional probability calculus; Epilogue; Bibliography; Index. | |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 500 | |a EBSCO eBook Academic Comprehensive Collection North America |5 TMurS | ||
| 650 | 0 | |a Fractional calculus. | |
| 650 | 0 | |a Pattern formation (Biology) | |
| 650 | 0 | |a Allometry. | |
| 650 | 0 | |a pattern formation. | |
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| 830 | 0 | |a Fractional calculus in applied sciences and engineering ; |v 2. | |
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