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On Sumudu Transform Method in Discrete Fractional Calculus

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  • Fahd Jarad
  • Kenan Taş

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.

Suggested Citation

  • Fahd Jarad & Kenan Taş, 2012. "On Sumudu Transform Method in Discrete Fractional Calculus," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, September.
  • Handle: RePEc:hin:jnlaaa:270106
    DOI: 10.1155/2012/270106
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    Cited by:

    1. Noureddine Djenina & Adel Ouannas & Iqbal M. Batiha & Giuseppe Grassi & Viet-Thanh Pham, 2020. "On the Stability of Linear Incommensurate Fractional-Order Difference Systems," Mathematics, MDPI, vol. 8(10), pages 1-12, October.

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