An efficient hybrid technique for the solution of fractional-order partial differential equations

H.K. Jassim, H. Ahmad, A. Shamaoon, C. Cesarano*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)
14 Downloads (Pure)

Abstract

In this paper, a hybrid technique called the homotopy analysis Sumudu transform method has been implemented solve fractional-order partial differential equations. This technique is the amalgamation of Sumudu transform method and the homotopy analysis method. Three examples are considered to validate and demonstrate the efficacy and accuracy of the present technique. It is also demonstrated that the results obtained from the suggested technique are in excellent agreement with the exact solution which shows that the proposed method is efficient, reliable and easy to implement for various related problems of science and engineering.
Original languageEnglish
Article number3
Pages (from-to)790-804
Number of pages15
JournalCarpathian Mathematical Publications
Volume13
Issue number3
DOIs
Publication statusPublished - 30 Dec 2021
Externally publishedYes

Keywords

  • fractional differential equation,
  • Sumudu transform
  • homotopy analysis method

Cite this