Research article

A new application of conformable Laplace decomposition method for fractional Newell-Whitehead-Segel equation

  • Received: 26 June 2020 Accepted: 06 September 2020 Published: 21 September 2020
  • MSC : 26A33, 34A08, 35R11

  • In this study, it is the first time that conformable Laplace decomposition method (CLDM) is applied to fractional Newell-Whitehead-Segel (NWS) equation which is one of the most significant amplitude equations in physics. The method consists of the unification of conformable Laplace transform and Adomian decomposition method (ADM) and it is used for finding approximate analytical solutions of linear-nonlinear fractional PDE's. The results show that this CLDM is quite powerful in solving fractional PDE's.

    Citation: Muammer Ayata, Ozan Özkan. A new application of conformable Laplace decomposition method for fractional Newell-Whitehead-Segel equation[J]. AIMS Mathematics, 2020, 5(6): 7402-7412. doi: 10.3934/math.2020474

    Related Papers:

  • In this study, it is the first time that conformable Laplace decomposition method (CLDM) is applied to fractional Newell-Whitehead-Segel (NWS) equation which is one of the most significant amplitude equations in physics. The method consists of the unification of conformable Laplace transform and Adomian decomposition method (ADM) and it is used for finding approximate analytical solutions of linear-nonlinear fractional PDE's. The results show that this CLDM is quite powerful in solving fractional PDE's.


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