@article{Lopushanska_Rapita_2016, title={Inverse Cauchy problem for fractional telegraph equations with distributions}, volume={8}, url={https://journals.pnu.edu.ua/index.php/cmp/article/view/1417}, DOI={10.15330/cmp.8.1.118-126}, abstractNote={<p>The inverse Cauchy problem for the fractional telegraph equation $$u^{(\alpha)}_t-r(t)u^{(\beta)}_t+a^2(-\Delta)^{\gamma/2} u=F_0(x)g(t), \;\;\; (x,t) \in {\rm R}^n\times (0,T],$$ with given distributions in the right-hand sides of the equation and initial conditions is studied. Our task is to determinate a pair of functions: a generalized solution $u$ (continuous in time variable in general sense) and unknown continuous minor coefficient $r(t)$. The unique solvability of the problem is established.</p>}, number={1}, journal={Carpathian Mathematical Publications}, author={Lopushanska, H.P. and Rapita, V.}, year={2016}, month={Jun.}, pages={118–126} }