Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel
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- 作者：J.F. Gó ; mez-Aguilar jgomez@cenidet.edu.mx" class="auth_mail" title="E-mail the corresponding author
- 关键词：Integral transform operator ; Fractional diffusion equation ; Atangana&ndash ; Baleanu fractional derivative ; Anomalous diffusion ; Subdiffusion
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2017
- 出版时间：1 January 2017
- 年：2017
- 卷：465
- 期：Complete
- 页码：562-572
- 全文大小：1447 K
文摘
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Atangana–Baleanu fractional operators are applied to fractional diffusion equations.
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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 is introduced.
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Based on the Mittag-Leffler function new behaviors for concentration were obtained.