## Abstract and Applied Analysis

### On Sumudu Transform Method in Discrete Fractional Calculus

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 270106, 16 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495863

Digital Object Identifier
doi:10.1155/2012/270106

Mathematical Reviews number (MathSciNet)
MR2970002

Zentralblatt MATH identifier
1253.34014

#### Citation

Jarad, Fahd; Taş, Kenan. On Sumudu Transform Method in Discrete Fractional Calculus. Abstr. Appl. Anal. 2012 (2012), Article ID 270106, 16 pages. doi:10.1155/2012/270106. https://projecteuclid.org/euclid.aaa/1355495863

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