On the Sequential Fractional Initial Boundary Problem

Çetinkaya S., Demir A.

International Dumlupınar Science and Mathematics Congress, Kütahya, Türkiye, 5 - 07 Eylül 2022, ss.499-510

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Kütahya
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.499-510
  • Kocaeli Üniversitesi Adresli: Evet

Özet

We focus on establishing the analytic solution of the sequential fractional initial boundary value problem

in the series form. First, we transform this problem into a problem with homogenous boundary

conditions. Next, the separation of variables method is utilized to establish the analytical solution in

terms of eigenfunctions of the corresponding Sturm-Liouville problem. It is illustrated by examples that

the applied method is accurate and effective for sequential fractional problems.