Fractional Diffusion in a Solid with Mass Absorption

نویسندگان

  • Yuriy Povstenko
  • Tamara Kyrylych
  • Grazyna Rygal
چکیده

The space-time-fractional diffusion equation with the Caputo time-fractional derivative and Riesz fractional Laplacian is considered in the case of axial symmetry. Mass absorption (mass release) is described by a source term proportional to concentration. The integral transform technique is used. Different particular cases of the solution are studied. The numerical results are illustrated graphically.

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عنوان ژورنال:
  • Entropy

دوره 19  شماره 

صفحات  -

تاریخ انتشار 2017