Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann-Liouville fractional operator

被引：4

作者：

Baltaeva, Umida ^{[1
,2
]}

Babajanova, Yulduz ^{[3
]}

Agarwal, Praveen ^{[4
,5
]}

Ozdemir, Necati ^{[6
]}

机构：

[1] Khorezm Mamun Acad, Khorezm, Uzbekistan

[2] Urgench State Univ, Dept Appl Math & Math Phys, Urgench, Uzbekistan

[3] Urgench State Univ, Dept Math Engn, Urgench, Uzbekistan

[4] Anand Int Coll Engn, Dept Math, Appl Nonlinear Sci Lab, Jaipur 303012, India

[5] Ajman Univ, Nonlinear Dynam Res Ctr NDRC, Ajman, U Arab Emirates

[6] Balikesir Univ, Dept Math, Balikesir, Turkiye

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 425卷

关键词：

Mixed type equation; Parabolic-hyperbolic type; Boundary -value problem; Integral condition; Riemann-Liouville fractional derivatives; BOUNDARY-VALUE PROBLEM;

D O I：

10.1016/j.cam.2023.115066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study boundary value problems with an integral gluing condition for a loaded equation of parabolic-hyperbolic type. The existence and uniqueness of the problem under study are proved based on the unique solvability obtained from integral and loaded integral equations.(c) 2023 Elsevier B.V. All rights reserved.

引用

页数：9

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