@article{Lopushansky_2013, title={Regularity of the solutions of the boundary value problems for diffusion-wave equation with generalized functions in right-hand sides}, volume={5}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/1318}, DOI={10.15330/cmp.5.2.279-289}, abstractNote={<p>We prove the unique solvability of the first boundary value problem of equation<br />$$u^{(\beta)}_t-a(t)\Delta u=F(x,t), \;\;\; (x,t) \in (0,l)\times<br />(0,T],$$</p><p>with Riemann-Liouville fractional derivative $u^{(\beta)}_t$ of the order $\beta\in (0,2)$, positive smooth coefficient $a(t)$ and generalized functions in right-hand sides. We obtain some sufficient conditions of the regularity of its solution as variable $t$.</p>}, number={2}, journal={Carpathian Mathematical Publications}, author={Lopushansky, A.O.}, year={2013}, month={Dec.}, pages={279–289} }