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Fractional Difference Equations with Real Variable

Author

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  • 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, Hindawi, vol. 2012, pages 1-24, December.
  • Handle: RePEc:hin:jnlaaa:918529
    DOI: 10.1155/2012/918529
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    Cited by:

    1. Stanislav Yu. Lukashchuk, 2022. "On the Property of Linear Autonomy for Symmetries of Fractional Differential Equations and Systems," Mathematics, MDPI, vol. 10(13), pages 1-17, July.
    2. Muhammad Bilal Khan & Aleksandr Rakhmangulov & Najla Aloraini & Muhammad Aslam Noor & Mohamed S. Soliman, 2023. "Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities," Mathematics, MDPI, vol. 11(3), pages 1-24, January.

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