Homotopy analysis method for fractional partial differential equations


MOHYUD-DIN S. T. , YILDIRIM A. , Usman M.

INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES, cilt.6, ss.136-145, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 6 Konu: 1
  • Basım Tarihi: 2011
  • Dergi Adı: INTERNATIONAL JOURNAL OF THE PHYSICAL SCIENCES
  • Sayfa Sayıları: ss.136-145

Özet

This paper applies the homotopy analysis method (HAM) to obtain analytical solutions of fractional heat- and wave-like equations with variable coefficients. The applications of the homotopy analysis method were extended to derive analytical solutions in the form of a series with easily computed terms for these generalized fractional equation. Some examples are presented to show the efficiency and simplicity of the method.