Sequential space fractional diffusion equation's solutions via new inner product


ÇETİNKAYA S. , DEMİR A.

Asian-European Journal of Mathematics, 2020 (Diğer Kurumların Hakemli Dergileri) identifier

  • Cilt numarası:
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1142/s1793557121501217
  • Dergi Adı: Asian-European Journal of Mathematics

Özet

© 2021 World Scientific Publishing Company.In this study, we determine the analytic solutions of sequential space fractional differential equations with Dirichlet boundary conditions and initial conditions in one dimension. We constructed a Fourier series solution for the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem, including fractional derivative in Caputo sense using the separation of variables. We defined a new inner product with a weighted function to get coefficients in the Fourier series.