AICNHS 3rd International Conference on New Horizons in Science, Casablanca, Morocco, 1 - 03 September 2023, pp.11-20
The primary purpose of this study is to acquire the analytic solution of the time-fractional diffusion problem in the sense of local fractional derivatives.
The boundary conditions are taken as periodic boundary conditions. The analytic
solution is established in the Fourier series form by means of the corresponding
Sturm-Liouville problem in the sense of local fractional derivatives. The
implementation and the accuracy of the method are illustrated by given examples.