Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel Article Swipe

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Mathematics Uniqueness Kernel (algebra) Fractional calculus Mittag-Leffler function Laplace transform Applied mathematics Variable (mathematics) Graphics Work (physics) Mathematical analysis Pure mathematics Computer science Computer graphics (images) Mechanical engineering Engineering

Zeliha Körpınar , Mustafa İnç , Dumitru Băleanu , Mustafa Bayram ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1080/16583655.2019.1640446 · OA: W2962845836

In 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.