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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 \linebreak 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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참고문헌 (53)
참고문헌 신청
S. Abbasbandy / 2006 / The application of homotopy analysis method to nonlinear equations arising in heat transfer / Phys. Lett. A 360(1):109~113
E. Ahmed / 2007 / Equilibrium points, stability and numerical solutions of fractional order predator-prey and rabies models / J. Math. Anal. Appl 325(1):542~553
O. J. J. Algahtani / 2016 / Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model / Chaos Solitons Fractals 89:552~559
B. S. T. Alkahtani / 2016 / Chua's circuit model with Atangana-Baleanu derivative with frac-tional order / Chaos Solitons Fractals 89:547~551
M. A. Asiru / 2001 / Sumudu transform and the solution of integral equations of convolution type / Internat. J. Math. Ed. Sci. Tech 32(6):906~910
E. Ahmed / 2007 / Equilibrium points, stability and numerical solutions of fractional order predator-prey and rabies models / J. Math. Anal. Appl 325(1):542~553
O. J. J. Algahtani / 2016 / Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model / Chaos Solitons Fractals 89:552~559
B. S. T. Alkahtani / 2016 / Chua's circuit model with Atangana-Baleanu derivative with frac-tional order / Chaos Solitons Fractals 89:547~551
M. A. Asiru / 2001 / Sumudu transform and the solution of integral equations of convolution type / Internat. J. Math. Ed. Sci. Tech 32(6):906~910
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