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Generalised Diffusion and Wave Equations: Recent Advances

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 نشر من قبل Trifce Sandev
 تاريخ النشر 2019
  مجال البحث فيزياء
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We present a short overview of the recent results in the theory of diffusion and wave equations with generalised derivative operators. We give generic examples of such generalised diffusion and wave equations, which include time-fractional, distributed order, and tempered time-fractional diffusion and wave equations. Such equations exhibit multi-scaling time behaviour, which makes them suitable for the description of different diffusive regimes and characteristic crossover dynamics in complex systems.



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