On Sumudu transform method in discrete fractional calculus

Jarad F., TAŞ K.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2012
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1155/2012/270106
  • Dergi Adı: Abstract and Applied Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.