On the Sequential Fractional Initial Boundary Problem

Çetinkaya S., Demir A.

International Dumlupınar Science and Mathematics Congress, Kütahya, Turkey, 5 - 07 September 2022, pp.499-510, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • City: Kütahya
  • Country: Turkey
  • Page Numbers: pp.499-510
  • Kocaeli University Affiliated: Yes

Abstract

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.