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On Solutions to Fractional Discrete Systems with Sequential h‐Differences

Author

Listed:
  • Małgorzata Wyrwas
  • Dorota Mozyrska
  • Ewa Girejko

Abstract

We study the subject of a behaviour of the solutions of systems with sequential fractional h‐differences. We give formulas for the unique solutions to initial value problems for systems in linear and semilinear cases. Moreover, the sufficient condition that guaranties the positivity of considered systems is presented.

Suggested Citation

  • Małgorzata Wyrwas & Dorota Mozyrska & Ewa Girejko, 2013. "On Solutions to Fractional Discrete Systems with Sequential h‐Differences," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:475350
    DOI: 10.1155/2013/475350
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    References listed on IDEAS

    as
    1. Fahd Jarad & Thabet Abdeljawad & Dumitru Baleanu & Kübra Biçen, 2012. "On the Stability of Some Discrete Fractional Nonautonomous Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, February.
    2. Fahd Jarad & Thabet Abdeljawad & Dumitru Baleanu & Kübra Biçen, 2012. "On the Stability of Some Discrete Fractional Nonautonomous Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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