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arXiv · 1903.01166

Generalised Diffusion and Wave Equations: Recent Advances

Trifce Sandev·Ralf Metzler·Aleksei Chechkin
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Abstract

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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Trifce Sandev, Ralf Metzler, Aleksei Chechkin. 2019-03-04. Generalised Diffusion and Wave Equations: Recent Advances. https://arxiv.org/abs/1903.01166

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