Nonlocal boundary value problems for hyperbolic equations with a Caputo fractional derivative

被引：11
|
作者：
Mahmudov, Elimhan N. [1 ,2 ]
Yusubov, Shakir Sh. [3 ]
机构：
[1] Istanbul Tech Univ, Dept Math, Istanbul, Turkey
[2] Azerbaijan Natl Acad Sci, Inst Control Syst, Baku, Azerbaijan
[3] Baku State Univ, Dept Mech & Math, Baku, Azerbaijan
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2021年 / 398卷
关键词：
Hyperbolic differential equation; Fractional derivative; Riemann-Liouville integral; Caputo derivative; Nonlocal problem; PARTIAL-DIFFERENTIAL-EQUATIONS; DARBOUX PROBLEM; HIGH-ORDER; APPROXIMATION; INCLUSIONS;
D O I：
10.1016/j.cam.2021.113709
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study local and nonlocal boundary value problems for hyperbolic equations of general form with variable coefficients and a Caputo fractional derivative. To study the stated problem, a certain fractional-order functional space is introduced. The problem posed is reduced to an integral equation, and the existence of its solution is proved using an a priori estimate. (C) 2021 Elsevier B.V. All rights reserved.
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收藏
页数：15
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