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

Elimhan N. Mahmudov; Shakir Sh Yusubov

doi:10.1016/j.cam.2021.113709

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

Elimhan N. Mahmudov^*
, Shakir Sh Yusubov

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

18 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Makale numarası	113709
Dergi	Journal of Computational and Applied Mathematics
Hacim	398
DOI'lar	https://doi.org/10.1016/j.cam.2021.113709
Yayın durumu	Yayınlandı - 15 Ara 2021

Bibliyografik not

Publisher Copyright:
© 2021 Elsevier B.V.

Belgeye Erişim

10.1016/j.cam.2021.113709

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Nonlocal boundary value problems for hyperbolic equations with a Caputo fractional derivative",

abstract = "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.",

keywords = "Caputo derivative, Fractional derivative, Hyperbolic differential equation, Nonlocal problem, Riemann–Liouville integral",

author = "Mahmudov, \{Elimhan N.\} and Yusubov, \{Shakir Sh\}",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2021",

month = dec,

day = "15",

doi = "10.1016/j.cam.2021.113709",

language = "English",

volume = "398",

journal = "Journal of Computational and Applied Mathematics",

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TY - JOUR

T1 - Nonlocal boundary value problems for hyperbolic equations with a Caputo fractional derivative

AU - Mahmudov, Elimhan N.

AU - Yusubov, Shakir Sh

PY - 2021/12/15

Y1 - 2021/12/15

N2 - 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.

AB - 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.

KW - Caputo derivative

KW - Fractional derivative

KW - Hyperbolic differential equation

KW - Nonlocal problem

KW - Riemann–Liouville integral

UR - https://www.scopus.com/pages/publications/85109159885

U2 - 10.1016/j.cam.2021.113709

DO - 10.1016/j.cam.2021.113709

M3 - Article

AN - SCOPUS:85109159885

SN - 0377-0427

VL - 398

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

M1 - 113709

ER -

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

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap