Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations

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

Chaos, Solitons & Fractals, 2018, vol. 116, issue C, 220-226

Abstract: In this work, the efficiency of the Atangana–Baleanu (AB) derivative over Caputo–Fabrizio (CF) to some nonlinear partial differential equation is presented. The considered equations are Rosenou–Haynam equation (RHE) and a class of mKdV (CmKdV) equation. The effective and efficient technique called the fractional homotopy perturbation transform method (FHPTM) is applied for the investigation of the governing equations.

Keywords: Fractional RHE; Fractional CmKdV; AB derivative; CF; FHPTM; 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:chsofr:v:116:y:2018:i:c:p:220-226

DOI: 10.1016/j.chaos.2018.09.036

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