Inverse Problem for a Third-Order Parabolic-Hyperbolic Equation Involves Fractional Derivatives

被引：0

作者：

Matchanova, A. A. ^{[1
]}

机构：

[1] Acad Sci Uzbek, Romanovskii Inst Math, Tashkent 100174, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2023年 / 44卷 / 03期

关键词：

inverse problem; parabolic-hyperbolic type; Caputo derivatives; integral gluing condition; integral equations; BOUNDARY-VALUE PROBLEM; PARTIAL INTEGRODIFFERENTIAL EQUATION; MIXED-TYPE EQUATION; DIFFERENTIAL-EQUATION; DIFFUSION EQUATION; DIRICHLET PROBLEM;

D O I：

10.1134/S1995080223030228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article the questions of unique solvability of inverse problem for a third order parabolic-hyperbolic type equation with Caputo derivatives are considered. Inverse problem is studied by an additional boundary condition on the hyperbolic domain and integral gluing condition on the line y = 0. The problem is reduced to study a second kind Volterra type integral equation with a shift. Existence and uniqueness of solution are proved by the method of successive approximations of factorial law.

引用

页码：1197 / 1205

页数：9

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