On a boundary-value problem for the parabolic-hyperbolic equation with the fractional derivative and the sewing condition of the integral form

被引：6

作者：

Berdyshev, Abdumauvlen S. ^{[1
]}

Karimov, Erkinjon T. ^{[2
]}

Akhtaeva, Nazgul S. ^{[1
]}

机构：

[1] Kazakh Natl Pedag Univ, Alma Ata 050010, Kazakhstan

[2] Natl Univ Uzbekistan, Inst Math, Tashkent 100125, Uzbekistan

来源：

INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2014) | 2014年 / 1611卷

关键词：

Fractional derivative; Mixed type equation; Sewing condition; Green's function;

D O I：

10.1063/1.4893817

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of the present work is an investigation of the analogue of the Tricomi problem with the integral sewing condition for parabolic-hyperbolic equation with the fractional derivative. The uniqueness of the solution for considered problem we prove by the method of energy integrals. The existence of the solution have been proved by reducing the considered problem to the Fredholm integral equation. We represent solution in an explicit form using Green's function.

引用

页码：133 / 137

页数：5

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