- Journal of Scientific Reports-A
- Issue: 045
- DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDI...
DIFFUSION EQUATION INCLUDING LOCAL FRACTIONAL DERIVATIVE AND NON-HOMOGENOUS DIRICHLET BOUNDARY CONDITIONS
Authors : Süleyman Çetinkaya, Ali Demir
Pages : 101-110
View : 15 | Download : 3
Publication Date : 2020-12-31
Article Type : Research
Abstract :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 onKeywords : Local fractional derivative, Time-fractional diffusion equation, Initial-boundary-value problems, Spectral method, Non-homogenous Dirichlet boundary conditions