Generalized diffusion-wave equation with memory kernel

@article{Sandev2018GeneralizedDE,
  title={Generalized diffusion-wave equation with memory kernel},
  author={Trifce Sandev and Zivorad Tomovski and Johan Dubbeldam and Aleksei V. Chechkin},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2018}
}
We study generalized diffusion-wave equation in which the second order time derivative is replaced by integro-differential operator. It yields time fractional and distributed order time fractional diffusion-wave equations as particular cases. We consider different memory kernels of the integro-differential operator, derive corresponding fundamental solutions, specify the conditions of their non-negativity and calculate mean squared displacement for all cases. In particular, we introduce and… Expand

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