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

@article{Ruzhansky2018OnAN,
  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},
  year={2018},
  volume={23},
  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
    8 Citations

    References

    SHOWING 1-10 OF 82 REFERENCES
    Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem
    • Y. Liu
    • Computer Science, Mathematics
    • Comput. Math. Appl.
    • 2017
    • 26
    • Highly Influential
    • PDF
    Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
    • 182
    • PDF
    Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
    • 83
    • PDF
    Non-local initial problem for second order time-fractional and space-singular equation
    • 4
    • PDF
    Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems
    • 21
    • PDF