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

Array

Authors

  • H.K. Jassim University of Thi-Qar, Nasiriyah, 00964 Dhi Qar, Iraq https://orcid.org/0000-0001-5715-7752
  • H. Ahmad International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
  • A. Shamaoon University of Thi-Qar, Nasiriyah, 00964 Dhi Qar, Iraq https://orcid.org/0000-0002-5934-0582
  • C. Cesarano International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy

DOI:

https://doi.org/10.15330/cmp.13.3.790-804

Keywords:

fractional differential equation, Sumudu transform, homotopy analysis method

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.

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Published

2021-12-30

How to Cite

(1)
Jassim, H.; Ahmad, H.; Shamaoon, A.; Cesarano, C. An Efficient Hybrid Technique for the Solution of Fractional-Order Partial Differential Equations: Array. Carpathian Math. Publ. 2021, 13, 790-804.

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Section

Scientific articles