Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations
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Date
2018
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Pergamon-Elsevier Science LTD
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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. (C) 2018 Elsevier Ltd. All rights reserved.
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Keywords
Fractional RHE, Fractional CmKdV, AB Derivative, CF, FHPTM, Numerical Simulations
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Citation
Yusuf, Abdullahi...et al. (2018). "Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations", Chaos Solitons & Fractals, Vol. 116, pp. 220-226.
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Source
Chaos Solitons & Fractals
Volume
116
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Start Page
220
End Page
226