Yusuf, AbdullahiAliyu, Aliyu IsaBaleanu, DumitruInc, Mustafa2020-03-262025-09-182020-03-262025-09-182018Inc, Mustafa...et al. (2018). "Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana-Baleanu derivative", Physica A-Statistical Mechanics and Its Applications, Vol. 506, pp. 520-531.0378-43711873-2119https://doi.org/10.1016/j.physa.2018.04.092https://hdl.handle.net/20.500.12416/10486Isa Aliyu, Aliyu/0000-0002-9756-7374; Yusuf, Abdullahi/0000-0002-8308-7943This work presents analysis of the logarithmic-KdV equation involving new fractional operator called Atangana-Baleanu (AB) fractional derivative with Mittag-Leffler (ML) type kernel. The existence and uniqueness of the governing equation having AB fractional derivative with ML type kernel is proved with the aid of a fixed-point theorem. We present numerical simulations by using iterative algorithm. The effectiveness of various parameters and variables on the displacement are presented in Figures 1 and 2. (C) 2018 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional Logarithmic-Kdv EquationAb DerivativeFixed-Point TheoremExistence And UniquenessAnd Numerical SimulationsArticle10.1016/j.physa.2018.04.0922-s2.0-85046481828