Diffusion Equation Including Local Fractional Derivatıve and Non-Homogenous Dirichlet Boundary Conditions
Journal of Scientific Reports-A, cilt.45, ss.101-110, 2020 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45
- Basım Tarihi: 2020
- Dergi Adı: Journal of Scientific Reports-A
- Sayfa Sayıları: ss.101-110
- Kocaeli Üniversitesi Adresli: Evet
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 $𝐿^2{[0,𝑙]}$, the solution is constructed
in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville
eigenvalue problem including local fractional derivative used in this study. Illustrative example
presents the applicability and influence of separation of variables method on fractional mathematical
problems.