On the Solution of Time Fractional Diffusion Equations with Periodic Boundary Conditions in the Sense of Local Fractional Derivatives

Çetinkaya S., Demir A.

AICNHS 3rd International Conference on New Horizons in Science, Casablanca, Morocco, 1 - 03 September 2023, pp.11-20

  • Publication Type: Conference Paper / Full Text
  • City: Casablanca
  • Country: Morocco
  • Page Numbers: pp.11-20
  • Kocaeli University Affiliated: Yes

Abstract

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.