A novel approach for the solution of fractional diffusion problems with conformable derivative


Bayrak M. A. , DEMİR A. , Ozbilge E.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2021
  • Doi Number: 10.1002/num.22750
  • Title of Journal : NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Abstract

The truncated solution of space-time fractional differential equations, including conformable derivative is constructed by the help of residual power series method (RPSM). At the first step the space-time fractional differential equations are transformed into space fractional differential equations or time fractional differential equations by means of a specific transformation. Then the solutions are obtained in the form of fractional power series by semi-analytical method RSPM. Finally, the illustrative examples show that this method is applicable, for constructing the truncated analytic solutions for space-time fractional differential equations.