On the numerical solution of conformable fractional diffusion problem with small delay


BAYRAK M. A. , DEMİR A. , Ozbilge E.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1002/num.22640
  • Title of Journal : NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Abstract

This study investigates approximate solution of the time-fractional Fisher equation with small delay by means of residual the residual power series method (RPSM). Since the delay term is small, the time fractional Fisher equation is expanded in powers series of delay term epsilon which allows to construct the approximate solution of time-fractional of Fisher equation by means of RPSM. The obtained results illustrative examples show that the proposed method in this study is very powerful and efficient for the solution of the time-fractional Fisher equation with small delay.