Investigation of the logarithmic-KdV equation involving Mittag-Leffler type kernel with Atangana–Baleanu derivative

By Abdullahi Yusuf, Aliyu Isa Aliyu, Dumitru Băleanu. Physica A: Statistical Mechanics and its Applications, 2018

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Abstract This 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.

Subfields: Applied Mathematics, Mechanics of Materials, Modeling and Simulation

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