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Bitsadze–Samarskii type problem for the integro-differential diffusion–wave equation on the Heisenberg group

Michael RuzhanskyDepartment of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, BelgiumNiyaz TokmagambetovAl-Farabi Kazakh National University, Almaty, KazakhstanBerikbol T. TorebekAl-Farabi Kazakh National University, Almaty, Kazakhstan
2019en
ABI

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This paper deals with the fractional generalization of the integro-differential diffusion–wave equation for the Heisenberg sub-Laplacian, with homogeneous Bitsadze–Samarskii type time-nonlocal conditions. For the considered problem, we show the existence, uniqueness and the explicit representation formulae for the solution.

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