An explicit plethora of solution for the fractional nonlinear model of the low–pass electrical transmission lines via Atangana–Baleanu derivative operator

Choonkil Park, Mostafa M.A. Khater, Raghda A.M. Attia, W. Alharbi, Sultan S. Alodhaibi

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Abstract

Novel explicit wave solutions are constructed for the fractional nonlinear model of the low–pass electrical transmission lines. A new fractional definition (Atangana–Baleanu derivative operator) is employed through the modified Khater method to get new wave solutions in distinct types of this model. The stability property of the obtained solutions is tested to show the ability of our obtained solutions in using through the physical experiments. Moreover, the obtained analytical solutions are used to evaluate the initial and boundary conditions that allows applying the cubic & septic B–spline schemes to investigate the numerical solutions of this model. The novelty and advantage of the proposed method are illustrated by applying to this model. Some sketches are plotted to show more about the dynamical behavior of this model.

Original languageEnglish
JournalAlexandria Engineering Journal
DOIs
StateAccepted/In press - 2020 Jan 1

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Keywords

  • ABR fractional operator
  • Cubic & Septic B–spline schemes.
  • Fractional nonlinear model of the low–pass electrical transmission lines
  • Modified Khater (mK) method
  • Stability property

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