Analysis of Fractional Nonlinear Differential Equations Using the Homotopy Perturbation Method


Creative Commons License

BALCI M. A. , YILDIRIM A.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, cilt.66, ss.87-92, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 66
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1515/zna-2011-1-213
  • Dergi Adı: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Sayfa Sayıları: ss.87-92

Özet

In this study, we used the homotopy perturbation method (HPM) for solving fractional nonlinear differential equations. Three models with fractional-time derivative of order alpha, 0 < alpha < 1, are considered and solved. The numerical results demonstrate that this method is relatively accurate and easily implemented.