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On March 1 , 1942 just seven weeks after the notorious Wannsee Conference distributed orders about the mass-murder weapons to be used against Jews, an article on Page 28 bore this headline: EXTINCTION FEARED BY JEWS IN POLAND Polish intellectuals and officials cited underground sources for the warning that 3.5 million Jews stood condemned "to cruel death -- to complete annihilation".
We consider a one-dimensional model of water reservoir, where the sediment is diffusing according to the Fourier law modified with the introduction of a derivative of fractional distributed orders as memory formalism.
The fractional order is equivalent to a time-varying diffusivity and the distributed orders represent a variety of memory mechanisms to model a sediment with a varied distribution of grain sizes.
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Thus, the P value can be computed from the joint cumulative distribution of a set of uniformly distributed order statistics.
This paper investigates the multi-objective optimal design of distributed order fractional damper.
However, only a few numerical methods are available for analyzing the distributed order systems.
The proposed method was found to be an efficient tool for analyzing linear distributed order systems.
Some new features of the distributed order integrator/differentiator are shown in time and frequency domains.
Besides, an auto-tuning strategy and the genetic algorithm are applied to the distributed order PI control as well.
Analogous results were obtained in [20, 22] for the fractional diffusion systems of multi-term and distributed order fractional derivatives of Caputo type.
Analogous results for the fractional diffusion systems with the multi-term and distributed order fractional derivatives of Riemann-Liouville type were obtained in [16] and [18].
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