loading page

NUMERICAL SOLUTION FOR TIME-FRACTIONAL MURRAY REACTION-DIFFUSION EQUATIONS VIA REDUCED DIFFERENTIAL TRANSFORM METHOD
  • Muhammed Yiğider,
  • Serkan Okur
Muhammed Yiğider
Erzurum Technical University
Author Profile
Serkan Okur
Erzurum Technical University
Author Profile

Abstract

In this study, solutions of time-fractional differential equations that emerge from science and engineering have been investigated by employing reduced differential transform method. Initially, the definition of the derivatives with fractional order and their important features are given. Afterwards, by employing the Caputo derivative, reduced differential transform method has been introduced. Finally, the numerical solutions of the fractional order Murray equation have been obtained by utilizing reduced differential transform method and results have been compared through graphs and tables. Keywords: Time-fractional differential equations, Reduced differential transform methods, Murray equations, Caputo fractional derivative.

Peer review status:UNDER REVIEW

29 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
30 Apr 2021Assigned to Editor
30 Apr 2021Submission Checks Completed
18 May 2021Reviewer(s) Assigned