The Analytic Solution of Initial Boundary Value Problem Including Space-Time Fractional Diffusion Equation

Çetinkaya S. , Demir A.

10th International Conference on Image Processing, Wavelet and Applications (IWW2019), Kocaeli, Turkey, 18 - 20 October 2019, pp.61

  • Publication Type: Conference Paper / Summary Text
  • City: Kocaeli
  • Country: Turkey
  • Page Numbers: pp.61


In this research, we determine the analytic solution of initial boundary value problem with Dirichlet boundary conditions in one dimensional. By using seperation of variables the solution is constructed in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem including fractional derivative in Caputo sense.