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,...
Main Author: | |
---|---|
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 |