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}
}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… Expand
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References
SHOWING 1-10 OF 82 REFERENCES
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
- Computer Science, Mathematics
- Comput. Math. Appl.
- 2012
- 110
Strong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problem
- Computer Science, Mathematics
- Comput. Math. Appl.
- 2017
- 27
- Highly Influential
- PDF
Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
- Mathematics
- 2011
- 183
- PDF
Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
- Mathematics, Computer Science
- Appl. Math. Comput.
- 2015
- 83
- PDF
Non-local initial problem for second order time-fractional and space-singular equation
- Mathematics
- 2017
- 5
- PDF
Solutions of the main boundary value problems for the time-fractional telegraph equation by the green function method
- Mathematics
- 2016
- 16
- PDF
Bitsadze–Samarskii type problem for the integro-differential diffusion–wave equation on the Heisenberg group
- Mathematics
- 2020
- 3
- PDF