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

Bayrak M. A., Demir A., Ozbilge E.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, vol.39, no.3, pp.1870-1887, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 3
  • Publication Date: 2023
  • Doi Number: 10.1002/num.22750
  • Journal Name: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.1870-1887
  • Keywords: conformable derivative, residual power series method, space-time fractional partial differential equations, EQUATIONS, ORDER
  • Kocaeli University Affiliated: Yes

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.