A new fractional analytical approach via a modified Riemann-Liouville derivative

Küçük Resim Yok

Tarih

2012

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science Ltd

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This work suggests a new analytical technique called the fractional homotopy perturbation method (FHPM) for solving fractional differential equations of any fractional order. This method is based on He's homotopy perturbation method and the modified Riemann-Liouville derivative. The fractional differential equations are described in Jumarie's sense. The results from introducing a modified Riemann-Liouville derivative in the cases studied show the high accuracy, simplicity and efficiency of the approach. (C) 2011 Elsevier Ltd. All tights reserved.

Açıklama

Anahtar Kelimeler

Fractional homotopy perturbation method, Modified Riemann-Liouville fractional derivatives, Mittag-Leffler function

Kaynak

Applied Mathematics Letters

WoS Q Değeri

Q1

Scopus Q Değeri

N/A

Cilt

25

Sayı

10

Künye