Solutions of a fractional oscillator by using differential transform method

Al-rabtah A., Ertürk V. S., Momani S.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.59, sa.3, ss.1356-1362, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.camwa.2009.06.036
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1356-1362
  • Anahtar Kelimeler: Differential transform method, Fractional oscillator, Fractional differential equation, Caputo fractional derivative, Numerical solutions, EQUATIONS, SYSTEMS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we present an efficient algorithm for solving a fractional oscillator using the differential transform method. The fractional derivatives are described in the Caputo sense. The application of differential transform method, developed for differential equations of integer order, is extended to derive approximate analytical solutions of a fractional oscillator. The method provides the solution in the form of a rapidly convergent series. Numerical examples are used to illustrate the preciseness and effectiveness of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.