17 research outputs found
Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group
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