[[1] ABDALLA, B.—ABUDAYA, K.—ALZABUT, J.—ABDELJAWAD, T.: New oscillation criteria for forced nonlinear fractional difference equations, Vietnam J. Math. 45 (2017), 609–618.10.1007/s10013-016-0230-y]Search in Google Scholar
[[2] ABDELJAWAD, T.: On Riemann and Caputo fractional differences, Comput. Math. Appl. 62 (2011), 1602–1611.10.1016/j.camwa.2011.03.036]Open DOISearch in Google Scholar
[[3] ALZABUT, J.—ABDELJAWAD, T.: Sufficient conditions for the oscillation of nonlinear fractional difference equations, J. Fract. Calc. Appl. 5 (2014), 177–187.]Search in Google Scholar
[[4] CHATZARAKIS, G. E.—GOKULRAJ, P.—KALAIMANI, T.—SADHASIVAM, V.: Oscillatory solutions of nonlinear fractional difference equations, Int. J. Differ. Equ. 2018 (2018) (to appear).10.1186/s13662-018-1905-3]Search in Google Scholar
[[5] CHEN, F.: Fixed points and asymptotic stability of nonlinear fractional difference equations, Electron. J. Qual. Theory Differ. Equ. 39 (2001), 1–18.]Search in Google Scholar
[[6] CHEN, F.—LIU, Z.: Asymptotic stability results for nonlinear fractional difference equations, J. Appl. Math. 2012 (2012), 1–14.]Search in Google Scholar
[[7] CHEN, F.—LUO, X.—ZHOU, Y.: Existence results for nonlinear fractional difference equation, Adv. Differ. Equ. 2011 (2011), 1–12.]Search in Google Scholar
[[8] DIAZ, J. B.—OLSER, T. J.: Differences of fractional order, Math. Comput. 28 (1974), 185–202.10.1090/S0025-5718-1974-0346352-5]Search in Google Scholar
[[9] SELVAM, A. G. M.—SAGAYARAJ, M. R.—LOGANATHAN, M. P.: Oscillatory behavior of a class of fractional difference equations with damping, Int. J. Appl. Math. Res. 3 (2014), 220–224.]Search in Google Scholar
[[10] HARDY, G. H.—LITTLEWOOD, J. E.—POLYA, G.: Inequalities. Cambridge University Press, Cambridge, 1959.]Search in Google Scholar
[[11] LI, W. N.: Oscillation results for certain forced fractional difference equations with damping term, Adv. Differ. Equ. 2016 (2016), 1–9.10.1186/s13662-015-0739-5]Search in Google Scholar
[[12] LOGANATHAN, M. P.—SAGAYARAJ, M. R.—SELVAM, A. G. M.: On the oscillation of non-linear fractional difference equations, Math. Aeterna 4 (2014), 91–99.]Search in Google Scholar
[[13] SAGAYARAJ, M. R.—SELVAM, A. G. M.—LOGANATHAN, M. P.: Oscillation criteria for a class of discrete nonlinear fractional equations, Bull. Soc. Math. Serv. Stand. 3 (2014), 27–35.]Search in Google Scholar
[[14] SECER, A.—ADIGUZEL, H.: Oscillation of solutions for a class of nonlinear fractional difference equations, J. Nonlinear Sci. Appl. 9 (2016), 5862–5869.10.22436/jnsa.009.11.14]Open DOISearch in Google Scholar