Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2009-01-23
Nonlinear Sciences
Adaptation and Self-Organizing Systems
7 pages
Scientific paper
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.
Ahmed Elsayed
Elgazzar Ahmed S.
Omar Yassmin A.
Shahin Awatif M.
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