Gellerstedt type problem for the loaded parabolic-hyperbolic type equation with Caputo and Erdelyi-Kober operators of fractional order

B. I. Islomov ; O. Kh. Abdullaev

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2020), pp. 33-46.

Résumé

This work devoted to uniqueness and existence of solution of the local and non-local problems with integral gluing condition for the loaded parabolic-hyperbolic type equation involving Caputo derivatives which trace of solution involved into the Erdelyi-Kober integral operator. The uniqueness of solution is proved using by the method of integral energy. The existence of solution was proved by the method of integral equations.

Détail

Keywords: loaded equation, parabolic-hyperbolic type, Caputo derivatives, integral gluing condition, uniqueness and existence of solution, integral equations.

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