On Sumudu transform method in discrete fractional calculus

Jarad F., TAŞ K.

Abstract and Applied Analysis, vol.2012, 2012 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 2012
  • Publication Date: 2012
  • Doi Number: 10.1155/2012/270106
  • Journal Name: Abstract and Applied Analysis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Uşak University Affiliated: No

Abstract

In this paper, starting from the definition of the Sumudu transform on a general time scale, we define the generalized discrete Sumudu transform and present some of its basic properties. We obtain the discrete Sumudu transform of Taylor monomials, fractional sums, and fractional differences. We apply this transform to solve some fractional difference initial value problems. © 2012 Fahd Jarad and Kenan Taş.