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Fractional Difference Equations with Real Variable

Author

Listed:
  • Jin-Fa Cheng
  • Yu-Ming Chu

Abstract

We independently propose a new kind of the definition of fractional difference, fractional sum, and fractional difference equation, give some basic properties of fractional difference and fractional sum, and give some examples to demonstrate several methods of how to solve certain fractional difference equations.

Suggested Citation

  • Jin-Fa Cheng & Yu-Ming Chu, 2012. "Fractional Difference Equations with Real Variable," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:918529
    DOI: 10.1155/2012/918529
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    References listed on IDEAS

    as
    1. Jin-Fa Cheng & Yu-Ming Chu, 2011. "On the Fractional Difference Equations of Order (2, q)," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. 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.
    3. 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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    Cited by:

    1. Abdon Atangana & Suares Clovis Oukouomi Noutchie, 2014. "On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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