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

Authors : Süleyman ÇETİNKAYA, Ali DEMİR

Pages : 101-110

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Publication Date : 2020-12-31

Article Type : Research Paper

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 on
Keywords : Local fractional derivative, Time fractional diffusion equation, Initial boundary value problems, Spectral method, Non homogenous Dirichlet boundary conditions