Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Nature's Patterns and the Fractional Calculus

Nature's Patterns and the Fractional Calculus

West, Bruce J.

Hardcover

Series: Fractional Calculus in Applied Sciences and Engineering, Book 2

BiologyGeneral MathematicsPhysics

ISBN10: 3110534118
ISBN13: 9783110534115
Publisher: De Gruyter
Published: Sep 11 2017
Pages: 213
Weight: 1.19
Height: 0.50 Width: 6.69 Depth: 9.61
Language: English

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.

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