刊名:Physica A: Statistical Mechanics and its Applications
出版年:2016
出版时间:1 April 2016
年:2016
卷:447
期:Complete
页码:467-481
全文大小:967 K
文摘
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Fractional calculus is applied to the diffusion and the diffusion–advection equation.
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The Caputo–Fabrizio fractional derivative is applied.
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The generalization of the equations in space–time exhibits anomalous behavior.
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To keep the dimensionality an auxiliary parameter σ is introduced.
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The numerical solutions are obtained using the numerical Laplace transform algorithm.
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