Baleanu, DumitruKörpınar, Zelihaİnç, MustafaBaleanu, DumitruBayram, Mustafa2019-12-252019-12-252019Körpınar, Zeliha...et al. (2019). "Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel", Journal of Taibah University For Science, Vol. 13, No. 1, pp. 813-819.1658-3655https://hdl.handle.net/20.500.12416/2282In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana-Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a recurrent process. The existence and uniqueness of solution for this system is discussed. To explain the effects of several parameters and variables on the movement, the approximate results are shown in graphics and tables.eninfo:eu-repo/semantics/openAccessThe Time Fractional Gardner EquationAtangana-Baleanu DerivativeMittag-Leffler KernelExistence and UniquenessSeries SolutionArticle13181381910.1080/16583655.2019.1640446