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.

引用

页数：15

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