A COUPLING METHOD OF HOMOTOPY PERTURBATION AND LAPLACE TRANSFORMATION FOR FRACTIONAL MODELS
Küçük Resim Yok
Tarih
2012
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Politehnica Bucharest, Sci Bull
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper suggests a novel coupling method of homotopy perturbation and Laplace transformation for fractional models. This method is based on He's homotopy perturbation, Laplace transformation and the modified Riemann-Liouville derivative. However, all the previous works avoid the term of fractional order initial conditions and handle them as a restricted variation. In order to overcome this shortcoming, a fractional Laplace homotopy perturbation transform method (FLHPTM) is proposed with modified Riemann-Liouville derivative. The results from introducing a modified Riemann-Liouville derivative, fractional order initial conditions and Laplace transform in the cases studied show the high accuracy, simplicity and efficiency of the approach.
Açıklama
Anahtar Kelimeler
Laplace transform, modified Riemann-Liouville derivative, homotopy perturbation method
Kaynak
University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
74
Sayı
1
