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Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales

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  • Mohamad Rafi Segi Rahmat

Abstract

We introduce nabla type Laplace transform and Sumudu transform on general time scale. We investigate the properties and the applicability of these integral transforms and their efficiency in solving fractional dynamic equations on time scales.

Suggested Citation

  • Mohamad Rafi Segi Rahmat, 2014. "Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:261348
    DOI: 10.1155/2014/261348
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    References listed on IDEAS

    as
    1. Fahd Jarad & Kenan Taş, 2012. "On Sumudu Transform Method in Discrete Fractional Calculus," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, September.
    2. Jan Čermák & Tomáš Kisela & Luděk Nechvátal, 2011. "Discrete Mittag‐Leffler Functions in Linear Fractional Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Jan Čermák & Tomáš Kisela & Luděk Nechvátal, 2011. "Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-21, June.
    4. Fahd Jarad & Kenan Taş, 2012. "On Sumudu Transform Method in Discrete Fractional Calculus," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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