Fractional Calculus and Dynamic Approach to Complexity
Description:
Fractional calculus enables the possibility of using real number powers or complex number powers of the differentiation operator. The fundamental connection between fractional calculus and subordination processes is explored and affords a physical interpretation for a fractional trajectory, that being an average over an ensemble of stochastic trajectories. With an ensemble average perspective, the explanation of the behavior of fractional chaotic systems changes dramatically. Before now what ha…
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Date:
December 2015
Creator:
Beig, Mirza Tanweer Ahmad
Partner:
UNT Libraries