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

Jarad F., TAŞ K.

Journal of Computational Analysis and Applications, vol.14, no.3, pp.475-483, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 3
  • Publication Date: 2012
  • Journal Name: Journal of Computational Analysis and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.475-483
  • Keywords: Caputo derivative, Fourier transform, Mittag-leffler function, Sumudu transform
  • Uşak University Affiliated: No

Abstract

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.