Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ANALYTICAL TECHNIQUES FOR SYSTEM OF TIME FRACTIONAL NONLINEAR DIFFERENTIAL EQUATIONS

  • Choi, Junesang (Department of Mathematics Dongguk University) ;
  • Kumar, Devendra (Department of Mathematics JECRC University) ;
  • Singh, Jagdev (Department of Mathematics JECRC University) ;
  • Swroop, Ram (Department of Mathematics Arya Institute of Engineering & Technology)
  • Received : 2016.06.13
  • Published : 2017.07.01
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Abstract

We coupled the so-called Sumudu transform with the homotopy perturbation method (HPM) and the homotopy analysis method (HAM), which are called homotopy perturbation Sumudu transform method (HPSTM) and homotopy analysis Sumudu transform method (HASTM), respectively. Then we show how HPSTM and HASTM are more convenient than HPM and HAM by conducting a comparative analytical study for a system of time fractional nonlinear differential equations. A Maple package is also used to enhance the clarity of the involved numerical simulations.

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References

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