Efficiency of the New Fractional Derivative With Nonsingular Mittag-Leffler Kernel To Some Nonlinear Partial Differential Equations
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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.
Description
Inc, Mustafa/0000-0003-4996-8373; Yusuf, Abdullahi/0000-0002-8308-7943; Isa Aliyu, Aliyu/0000-0002-9756-7374
Keywords
Fractional Rhe, Fractional Cmkdv, Ab Derivative, Cf, Fhptm, Numerical Simulations, numerical simulations, fractional CmKdV, FHPTM, fractional Rosenou-Haynam equation, Caputo-Fabrizio derivative, Series solutions to PDEs, Atangana-Baleanu derivative, Fractional partial differential equations
Fields of Science
0103 physical sciences, 01 natural sciences
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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34
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116
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220
End Page
226
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