TY - JOUR AU - Obidjon Abdullaev PY - 2021/09/09 Y2 - 2024/03/28 TI - About a problem for the degenerating mixed type equation involving Caputo and Erdelyi-Kober operators fractional order. JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 71 IS - 6 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/106 AB - Abstract: This research work devoted to proof an existence and uniqueness of solution of a local problem for the degenerating parabolic-hyperbolic type equation with loaded terms involving a trace of solution in Erdelyi-Kober integrals. Since, the trace of solution (i.e. u(x; 0) ) is in Erdelyi-Kober integrals and hyperbolic type equation is degenerates on the line y = 0, we used some properties and estimations of hyper-geometric functions, moreover some integral equalities on the proofing process of the uniqueness and existence of solution of the investigated problem. ER -