Atıf İçin Kopyala
Mahmudov E., Yusubov S. S.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.398, 2021 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
398
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Basım Tarihi:
2021
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Doi Numarası:
10.1016/j.cam.2021.113709
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Dergi Adı:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
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Anahtar Kelimeler:
Hyperbolic differential equation, Fractional derivative, Riemann-Liouville integral, Caputo derivative, Nonlocal problem, PARTIAL-DIFFERENTIAL-EQUATIONS, DARBOUX PROBLEM, HIGH-ORDER, APPROXIMATION, INCLUSIONS
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İstanbul Teknik Üniversitesi Adresli:
Evet
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. (C) 2021 Elsevier B.V. All rights reserved.