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

2019

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DOI 10.1080/10652469.2019.1652823
Data confidence 70 medium
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Abstract

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.