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Anomalous diffusion in comb model subject to a novel distributed order time fractional Cattaneo-Christov flux

机译:梳理模型中的异常扩散受新颖的分布式订单时间分数CTARTANEO-CHRISTOV通量

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摘要

The distributed order time fractional Cattaneo-Christov constitution relationship is firstly formulated to study the anomalous diffusion in comb model. The weight coefficients to govern the distributed order fractional diffusion are chosen as power-law forms. Solutions of the formulated governing equation containing the relaxation parameter and a spectrum of the fractional derivative are obtained numerically. By using mid-point quadrature rule, the distributed order item is transformed into multi-term fractional ones and the fractional derivatives are discretized by applying the L1 scheme. The effects of involved parameters on the spatial evolution and the power-law index evolution of particle distributions are discussed and the mass transfer mechanism is analysed by graphical illustrations. (C) 2019 Elsevier Ltd. All rights reserved.
机译:分布式订单时间分数分数Cattovo-Christov构成关系,以研究梳状模型中的异常扩散。 选择控制分布式订单分数扩散的重量系数被选为电力法。 在数值上获得含有弛豫参数和分数衍生物的分数的配方的控制式的溶液。 通过使用中点正交规则,将分布式订单项转换为多术语分数,并且通过应用L1方案离散地衍生物。 讨论了涉及参数对空间演化的影响和粒子分布的动力法指数演化,并通过图形插图分析了传质机制。 (c)2019年elestvier有限公司保留所有权利。

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