@article{Abdullaev_2019, title={On the problem for the mixed-type degenerate equation with Caputo
and Erdelyi – Kober operators of fractional order}, volume={71}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/1471}, abstractNote={UDC 517.9 <br>
We establish the existence and uniqueness of the solution of a local problem for the degenerate parabolic-hyperbolic-type
equations with loaded terms containing the trace of solution in the Erdelyi – Kober integrals. Since, the trace of solution
(i.e., $u(x, 0)$) appears in the Erdelyi – Kober integrals and the hyperbolic-type equation is degenerated in the line $y = 0$,
we use some properties and estimates for hypergeometric functions and, in addition, some integral equalities in proving the
existence and uniqueness of solution of the investigated problem.}, number={6}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={AbdullaevO. Kh.}, year={2019}, month={Jun.}, pages={723-738} }