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

Süleyman ÇETİNKAYA; Ali DEMİR

Makale detayları

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

Yazarlar:

Süleyman ÇETİNKAYA | Ali DEMİR

Yayıncı:

Kütahya Dumlupinar University

Ana Başlıklar:

Astronomi ve ilgili bilimler

Dergi:

Journal of Scientific Reports-A 2020 Issue 045, pp.101-110

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000495408

Sıklık:

Üç Aylık

eISSN:

2687-6167

Özet:

 


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 local fractional derivative, it has classical initial and boundary conditions. By means of separation of variables method and the inner product defined on 2[0,], the solution is constructed in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem including local fractional derivative used in this study. Illustrative example presents the applicability and influence of separation of variables method on fractional mathematical problems.

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Makale detayları

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

Yazarlar: Süleyman ÇETİNKAYA | Ali DEMİR

Yayıncı: Kütahya Dumlupinar University

Ana Başlıklar: Astronomi ve ilgili bilimler

Dergi: Journal of Scientific Reports-A 2020 Issue 045, pp.101-110

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000495408

Sıklık: Üç Aylık

eISSN: 2687-6167

Sayı

Yazarlar:

Süleyman ÇETİNKAYA | Ali DEMİR

Yayıncı:

Kütahya Dumlupinar University

Ana Başlıklar:

Astronomi ve ilgili bilimler

Dergi:

Journal of Scientific Reports-A 2020 Issue 045, pp.101-110

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000495408

Sıklık:

Üç Aylık

eISSN:

2687-6167