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Fractional (space–time) diffusion equation on comb-like model. (English) Zbl 1053.81513

Summary: A directed connection between the fractal structure and the fractional calculus has been achieved. The fractional space–time diffusion equation is derived using the comb-like structure as a background model. The solution of the obtained equation will be established for three different interesting cases.

MSC:

81P99 Foundations, quantum information and its processing, quantum axioms, and philosophy
81P20 Stochastic mechanics (including stochastic electrodynamics)
28A80 Fractals
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