Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions

Süleyman ÇETİNKAYA, (Kocaeli Üniversitesi, İzmit, Kocaeli, Türkiye)
Ali DEMİR (Kocaeli Üniversitesi, İzmit, Kocaeli, Türkiye)
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
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Yıl: 2020 Cilt: 24 Sayı: 6 Sayfa Aralığı: 1185 - 1190 Metin Dili: İngilizce DOI: 10.16984/saufenbilder.749168 İndeks Tarihi: 21-12-2021

Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions

Öz:
In this research, we discuss the construction of analytic solution of non-homogenous initial boundary value problem including PDEs of fractional order. Since non-homogenous initial boundary value problem involves Caputo fractional order derivative, it has classical initial and boundary conditions. By means of separation of variables method and the inner product defined on 𝐿ଶ[0, 𝑙], the solution is constructed in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem including fractional derivative in Caputo sense used in this study. Illustrative example presents the applicability and influence of separation of variables method on fractional mathematical problems.Keywords: Caputo fractional derivative, Time-fractional diffusion equation, Mittag-Leffler function, Initial-boundary-value problems, Spectral method.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA ÇETINKAYA S, DEMİR A (2020). Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. , 1185 - 1190. 10.16984/saufenbilder.749168
Chicago ÇETINKAYA SÜLEYMAN,DEMİR ALİ Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. (2020): 1185 - 1190. 10.16984/saufenbilder.749168
MLA ÇETINKAYA SÜLEYMAN,DEMİR ALİ Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. , 2020, ss.1185 - 1190. 10.16984/saufenbilder.749168
AMA ÇETINKAYA S,DEMİR A Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. . 2020; 1185 - 1190. 10.16984/saufenbilder.749168
Vancouver ÇETINKAYA S,DEMİR A Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. . 2020; 1185 - 1190. 10.16984/saufenbilder.749168
IEEE ÇETINKAYA S,DEMİR A "Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions." , ss.1185 - 1190, 2020. 10.16984/saufenbilder.749168
ISNAD ÇETINKAYA, SÜLEYMAN - DEMİR, ALİ. "Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions". (2020), 1185-1190. https://doi.org/10.16984/saufenbilder.749168
APA ÇETINKAYA S, DEMİR A (2020). Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 24(6), 1185 - 1190. 10.16984/saufenbilder.749168
Chicago ÇETINKAYA SÜLEYMAN,DEMİR ALİ Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 24, no.6 (2020): 1185 - 1190. 10.16984/saufenbilder.749168
MLA ÇETINKAYA SÜLEYMAN,DEMİR ALİ Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.24, no.6, 2020, ss.1185 - 1190. 10.16984/saufenbilder.749168
AMA ÇETINKAYA S,DEMİR A Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 24(6): 1185 - 1190. 10.16984/saufenbilder.749168
Vancouver ÇETINKAYA S,DEMİR A Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions. Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020; 24(6): 1185 - 1190. 10.16984/saufenbilder.749168
IEEE ÇETINKAYA S,DEMİR A "Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions." Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 24, ss.1185 - 1190, 2020. 10.16984/saufenbilder.749168
ISNAD ÇETINKAYA, SÜLEYMAN - DEMİR, ALİ. "Time Fractional Equation with Non-homogenous Dirichlet Boundary Conditions". Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi 24/6 (2020), 1185-1190. https://doi.org/10.16984/saufenbilder.749168
Sayfa Oluşturulma Tarihi
03-05-2024 11:29

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