Several fractional differences and their applications to discrete maps

Wu, G.-C.Baleanu, DumitruBaleanu, D.Zeng, S.-D.2022-12-162022-12-162015Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da (2015). "Several fractional differences and their applications to discrete maps", Journal of Applied Nonlinear Dynamics, Vol. 4, No. 4, pp. 339-348.2164-6457https://doi.org/10.5890/JAND.2015.11.001Several definitions of fractional differences are discussed. Their applications to fractional maps are compared. As an example, the logistic equation of integer order is discretized by these fractional difference methods. The comparative results show that the discrete fractional calculus is an efficient tool and the maps derived in this way have simpler forms but hold rich dynamical behaviors. © 2015 L & H Scientific Publishing, LLC.eninfo:eu-repo/semantics/closedAccessChaosDiscrete Fractional CalculusDiscrete Fractional MapGrünwald-LetnikovSeveral fractional differences and their applications to discrete mapsSeveral Fractional Differences and Their Applications To Discrete MapsArticle4433934810.5890/JAND.2015.11.0012-s2.0-85010415425N/AQ4