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

Mustafa Inc, Abdullahi Yusuf, Aliyu Isa Aliyu and Dumitru Baleanu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 506, issue C, 520-531

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.

Keywords: Fractional logarithmic-KdV equation; AB derivative; Fixed-point theorem; Existence and uniqueness; And numerical simulations (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:506:y:2018:i:c:p:520-531

DOI: 10.1016/j.physa.2018.04.092

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