Solution of fractional integro-differential equations by using fractional differential transform method

Arıkoğlu A., Özkol İ.

CHAOS SOLITONS & FRACTALS, cilt.40, sa.2, ss.521-529, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.chaos.2007.08.001
  • Dergi Adı: CHAOS SOLITONS & FRACTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.521-529
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this study, fractional differential transform method (FDTM), which is a semi analytical numerical technique. is extended to solve fractional integro-differential equations of Volterra type. New theorems for the transformation of integral terms having degenerate kernels that never existed before are introduced with their proofs. This implemented new technique is validated by solving and comparing four different examples that exist in file literature. It is observed that, FDTM call be utilized its it powerful and reliable tool for the solution of fractional integro-differential equations. (C) 2007 Elsevier Ltd. All rights reserved.