Cheng, Jin-Fa; Chu, Yu-Ming Fractional difference equations with real variable. (English) Zbl 1259.39010 Abstr. Appl. Anal. 2012, Article ID 918529, 24 p. (2012). Summary: 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. Cited in 19 Documents MSC: 39A20 Multiplicative and other generalized difference equations Keywords:fractional difference; fractional sum; fractional difference equation × Cite Format Result Cite Review PDF Full Text: DOI References: [1] S. G. Samko, A. A. Kilbas, and O. I. Marichev, Integrals and Derivatives of the Fractional Order and Some of Their Applications, Nauka i Tekhnika, Minsk, Russia, 1987. · Zbl 0697.26004 [2] K. S. Miller and B. 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