On a non–local problem for a multi–term fractional diffusion-wave equation

  title={On a non–local problem for a multi–term fractional diffusion-wave equation},
  author={Michael Ruzhansky and N. Tokmagambetov and B. Torebek},
  journal={Fractional Calculus and Applied Analysis},
  pages={324 - 355}
  • Michael Ruzhansky, N. Tokmagambetov, B. Torebek
  • Published 2018
  • Mathematics
  • Fractional Calculus and Applied Analysis
  • Abstract This paper deals with the multi-term generalisation of the time-fractional diffusion-wave equation for general operators with discrete spectrum, as well as for positive hypoelliptic operators, with homogeneous multi-point time-nonlocal conditions. Several examples of the settings where our nonlocal problems are applicable are given. The results for the discrete spectrum are also applied to treat the case of general homogeneous hypoelliptic left-invariant differential operators on… CONTINUE READING
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