Application of sumudu and double sumudu transforms to caputo-fractional differential equations

Jarad F., TAŞ K.

Journal of Computational Analysis and Applications, cilt.14, sa.3, ss.475-483, 2012 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3
  • Basım Tarihi: 2012
  • Dergi Adı: Journal of Computational Analysis and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.475-483
  • Anahtar Kelimeler: Caputo derivative, Fourier transform, Mittag-leffler function, Sumudu transform
  • Uşak Üniversitesi Adresli: Hayır

Özet

The definition, properties and applications of the Sumudu trans- form to ordinary differential equations are described in [1-3]. In this manu- script we derive the formulae for the Sumudu and double Sumudu transforms of ordinary and partial fractional derivatives and apply them in solving Caputo- fractional differential equations. Our purpose here is to show the applicability of this new transform and its efficiency in solving such problems. © 2012 EUDOXUS PRESS, LLC.