@misc{Klimek_Małgorzata_Exact, author={Klimek, Małgorzata and Blaszczyk, Tomasz}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={We study a fractional differential diffusion equation, where the spatial derivative is expressed by the fractional differential operator with a fixed space memory length. The exact solution of the considered problem is presented, taking into account the homogeneous Dirichlet boundary conditions. Additionally, since the solution is in the form of a trigonometric series, we also present approximate solutions in the form of the truncated series. The accuracy of the approximation is controlled by the derived bound of a approximation error.}, type={artykuł}, title={Exact and approximate solutions of a fractional diffusion problem with fixed space memory length}, keywords={fractional diffusion problem, series solution, error estimation, fixed memory length}, }