Efficiency of the New Fractional Derivative With Nonsingular Mittag-Leffler Kernel To Some Nonlinear Partial Differential Equations
Loading...
Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
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.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
34
Source
Chaos, Solitons & Fractals
Volume
116
Issue
Start Page
220
End Page
226
PlumX Metrics
Citations
CrossRef : 30
Scopus : 37
Captures
Mendeley Readers : 7
SCOPUS™ Citations
38
checked on Feb 24, 2026
Web of Science™ Citations
35
checked on Feb 24, 2026
Page Views
4
checked on Feb 24, 2026
Google Scholar™
