On Fractals and Fractional Calculus Motivated by Complex Systems

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Complex systems (CS) are ubiquitous in nature. It is argued that fractional order (FO) calculus is more suitable to describe fractal systems. Motivated by the fractal space time theory some fractional generalizations of Scrodinger and Klein-Gordon equations are given. In many CS systems statistics is described by heavy tailed distributions e.g. fractal and Levy-Weibull ones. Here a generalized Weibull (GW) distribution is proposed to interpolate between them.
7 pages

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Adaptation and Self-Organizing Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/217211

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.3618
 http://arxiv.org/abs/0901.3618

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arXiv