On a problem for the parabolic-hyperbolic type equation of fractional order with non-linear loaded term

We study the existence and uniqueness of solution of the non-local problem for the parabolic-hyperbolic type equation with non linear loaded term involving Caputo derivative \[ f(x) = \begin{cases} {u_{xx}}-_CD_{0y}^\alpha u+a_1(x)u^{p_1}(x,0), y 0, \\ {u_{xx}}-{u_{yy}}+a_2(x)u^{p_2}(x,0), y0,...

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Bibliographic Details
Main Author: Obidjon Kh. Abdullaev
Format: Article
Language:English
Published: Samara State Technical University 2021-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/60083/pdf