DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS

DEMİR, ALİ; ÇETINKAYA, SÜLEYMAN

DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS

Süleyman ÇETİNKAYA, (Kocaeli Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, 41380, Kocaeli, Türkiye)

Ali DEMİR (Kocaeli Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, 41380, Kocaeli, Türkiye)

Journal of scientific reports-A (Online)

1 0

Yıl: 2020 Cilt: 0 Sayı: 45 Sayfa Aralığı: 101 - 110 Metin Dili: İngilizce İndeks Tarihi: 23-02-2021

DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS

Öz:

In this research, we discuss the construction of analytic solution of non-homogenous initial boundaryvalue problem including PDEs of fractional order. Since non-homogenous initial boundary valueproblem involves local fractional derivative, it has classical initial and boundary conditions. By meansof separation of variables method and the inner product defined on 𝐿2[0,𝑙], the solution is constructedin the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouvilleeigenvalue problem including local fractional derivative used in this study. Illustrative examplepresents the applicability and influence of separation of variables method on fractional mathematicalproblems.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	ÇETINKAYA S, DEMİR A (2020). DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. , 101 - 110.
Chicago	ÇETINKAYA SÜLEYMAN,DEMİR ALİ DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. (2020): 101 - 110.
MLA	ÇETINKAYA SÜLEYMAN,DEMİR ALİ DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. , 2020, ss.101 - 110.
AMA	ÇETINKAYA S,DEMİR A DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. . 2020; 101 - 110.
Vancouver	ÇETINKAYA S,DEMİR A DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. . 2020; 101 - 110.
IEEE	ÇETINKAYA S,DEMİR A "DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS." , ss.101 - 110, 2020.
ISNAD	ÇETINKAYA, SÜLEYMAN - DEMİR, ALİ. "DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS". (2020), 101-110.

APA	ÇETINKAYA S, DEMİR A (2020). DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. Journal of scientific reports-A (Online), 0(45), 101 - 110.
Chicago	ÇETINKAYA SÜLEYMAN,DEMİR ALİ DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. Journal of scientific reports-A (Online) 0, no.45 (2020): 101 - 110.
MLA	ÇETINKAYA SÜLEYMAN,DEMİR ALİ DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. Journal of scientific reports-A (Online), vol.0, no.45, 2020, ss.101 - 110.
AMA	ÇETINKAYA S,DEMİR A DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. Journal of scientific reports-A (Online). 2020; 0(45): 101 - 110.
Vancouver	ÇETINKAYA S,DEMİR A DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS. Journal of scientific reports-A (Online). 2020; 0(45): 101 - 110.
IEEE	ÇETINKAYA S,DEMİR A "DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS." Journal of scientific reports-A (Online), 0, ss.101 - 110, 2020.
ISNAD	ÇETINKAYA, SÜLEYMAN - DEMİR, ALİ. "DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS". Journal of scientific reports-A (Online) 45 (2020), 101-110.