ABOUT A PROBLEM FOR THE DEGENERATING MIXED TYPE EQUATION FRACTIONAL DERIVATIVE

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki

Islomov B. I.¹  Ochilova N. K.² 

[1] National University of Uzbekistan, 100125, Tashkent, Vuzgorodok, Universitetskaya str.4, Uzbekistan;Tashkent financial institute,100000, Tashkent, Amir Temur-57.Uzbekistan;

关键词: boundary value problem;    degenerating equation;    parabolic-hyperbolic type;    Gauss hypergeometric function;    Cauchy problem;    existence and uniqueness of solution;    a principle an extremum;    method of integral equations;   

DOI  :  10.18454/2079-6641-2017-17-1-22-32

来源: DOAJ

【 摘 要 】

The existence and the uniqueness of solution of local problem for degenerating mixed type equation is investigated. Considering parabolic-hyperbolic equation involve the Caputo fractional derivative. The uniqueness of solution is proved using the method of the extremume principle and integral energy, the existence is proved by the method of integral equations.

【 授权许可】

Unknown