Numerical solution to the van der Pol equation with fractional damping

Konuralp A., Konuralp Ç., YILDIRIM A.

3rd International Workshop on Fractional Differentiation and its Applications, FDA08, Ankara, Türkiye, 5 - 07 Kasım 2008, cilt.T136, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: T136
  • Doi Numarası: 10.1088/0031-8949/2009/t136/014034
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Manisa Celal Bayar Üniversitesi Adresli: Hayır

Özet

In this study, the van der Pol equation with fractional damping is investigated and the numerical solution of the problem is obtained by means of the variational iteration method. For this purpose, specific α values are considered and the emerged fractional differential equations are solved approximately. Furthermore, these solutions are compared and the relations between them are figured out. © 2009 The Royal Swedish Academy of Sciences.