ANALYSIS OF TIME-FRACTIONAL BURGERS AND DIFFUSION EQUATIONS BY USING MODIFIED q -HATM

Nehad Ali Shah, Praveen Agarwal, Jae Dong Chung, Saad Althobaiti, Samy Sayed, A. F. Aljohani, Mohamed Alkafafy

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, the q-homotopy analysis transform technique is implemented to analyze the solution of fractional-order Burgers and diffusion equations with the help of Caputo operator. The results of the proposed method are shown and analyzed with the help of figures. This approach is used to determine the solution in a convergent sequence and illustrate the q-homotopy analysis transform technique solutions convergence to the exact result. Several examples showed the reliability and simplicity of the technique and highlighted the significance of this work. Therefore, the proposed method is successful in investigating other fractional-order linear and nonlinear partial differential equations.
Original languageAmerican English
JournalFractals
Volume30
Issue number1
DOIs
StatePublished - 1 Feb 2022

Keywords

  • Burgers' and Diffusion Equations
  • Caputo Derivatives
  • Elzaki Transform
  • q-Homotopy Analysis Transform Method

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