Boundary value problems for a mixed-type loaded equation with a characteristic and noncharacteristic line of type change

被引：1

作者：

Baltaeva, Umida ^{[1
,2
]}

Hayitbayev, Hamrobek ^{[3
]}

Baltaev, Jamol I. ^{[4
]}

机构：

[1] Uzbek Acad Sci, Khorezm Mamun Acad, Dept Exact Sci, Khiva 220900, Uzbekistan

[2] Urgench State Univ, Dept Appl Math, Urgench 220100, Uzbekistan

[3] Mamun Univ, Dept Accounting & Gen Profess Sci, Khiva 220900, Uzbekistan

[4] RANCH Univ Technol, Dept Technol, Urgench 220100, Uzbekistan

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2024年 / 70卷 / 06期

关键词：

Mixed-type equation; Riemann-Liouville fractional integral; Unique solvability; Loaded equation; CAUCHY-PROBLEM; DIFFERENTIAL-EQUATIONS; NUMERICAL-SIMULATION; SYSTEMS; FLOW;

D O I：

10.1007/s12190-024-02190-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider boundary value problems with characteristic, non-characteristic, and two mixed lines of type change for a fractionally loaded equation. The equation under consideration is a loaded parabolic-hyperbolic type with a fractional integral operator, where the hyperbolic part is a characteristic load. By assuming the load is characteristic under necessary conditions on the given functions, we prove the unique solvability of the resulting integral equations derived from the formulated problems. Consequently, the problems also have unique solutions.

引用

页码：5669 / 5687

页数：19

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