On the problem for the mixed-type degenerate equation with Caputo and Erdelyi – Kober operators of fractional order

• Date: 2019
• Main Authors: Abdullaev, O. Kh., Абдуллаев, О. Х.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1471
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 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 –...