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Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
(Articles)
Orkun Tasbozan
,
Alaattin Esen
,
Nuri Murat Yagmurlu
Open Journal of Applied Sciences
Vol.2 No.3
,September 28, 2012
DOI:
10.4236/ojapps.2012.23029
7,328
Downloads
21,012
Views
Citations
Construction of Solitary Wave Solutions and Rational Solutions for mKdV Equation with Initial Value Problem by Homotopy Perturbation Method
(Articles)
Zhongzhou Dong
,
Fen Wang
Open Access Library Journal
Vol.5 No.2
,February 28, 2018
DOI:
10.4236/oalib.1104383
666
Downloads
1,417
Views
Citations
Homotopy Analysis Method for a Conservative Nonlinear Oscillator with Fractional Power
(Articles)
Huaxiong Chen
,
Yanyan Wang
Journal of Applied Mathematics and Physics
Vol.9 No.1
,January 6, 2021
DOI:
10.4236/jamp.2021.91004
399
Downloads
1,122
Views
Citations
Homotopy Analysis Solution to Radial Diffusivity Equation of Slightly Compressible Fluid
(Articles)
Olugbenga Adebanjo Falode
,
Victor Sunday Chukwunagolu
Applied Mathematics
Vol.7 No.9
,May 31, 2016
DOI:
10.4236/am.2016.79087
2,058
Downloads
3,675
Views
Citations
Analytic Solution for Fluid Flow over an Exponentially Stretching Porous Sheet with Surface Heat Flux in Porous Medium by Means of Homotopy Analysis Method
(Articles)
Azhar Ali
,
H. Zaman
,
M. Z. Abidin
,
S. I. A. Shah
American Journal of Computational Mathematics
Vol.5 No.2
,June 30, 2015
DOI:
10.4236/ajcm.2015.52019
3,957
Downloads
5,525
Views
Citations
An Iteration Method to Solve the Boundary Layer Flow past a Flat Plate
(Articles)
Ken-ichi Kusukawa
,
Shigeaki Suwa
,
Takeo R. M. Nakagawa
Journal of Applied Mathematics and Physics
Vol.2 No.4
,March 13, 2014
DOI:
10.4236/jamp.2014.24005
3,649
Downloads
6,950
Views
Citations
Homotopy Perturbation Method for the Generalized Hirota-Satsuma Coupled KdV Equation
(Articles)
Dalal A. Maturi
Applied Mathematics
Vol.3 No.12
,December 21, 2012
DOI:
10.4236/am.2012.312273
5,703
Downloads
9,721
Views
Citations
The Mixture of New Integral Transform and Homotopy Perturbation Method for Solving Discontinued Problems Arising in Nanotechnology
(Articles)
Kunjan Shah
,
Twinkle Singh
Open Journal of Applied Sciences
Vol.5 No.11
,November 19, 2015
DOI:
10.4236/ojapps.2015.511068
3,679
Downloads
4,669
Views
Citations
Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations
(Articles)
Xingyue Jian
Journal of Applied Mathematics and Physics
Vol.7 No.1
,January 29, 2019
DOI:
10.4236/jamp.2019.71019
1,166
Downloads
2,491
Views
Citations
Solitary Wave Solutions and Rational Solutions for Modified Zakharov-Kuznetsov Equation with Initial Value Problem
(Articles)
Zhongzhou Dong
,
Ling Wang
Journal of Applied Mathematics and Physics
Vol.6 No.5
,May 15, 2018
DOI:
10.4236/jamp.2018.65081
618
Downloads
1,476
Views
Citations
This article belongs to the Special Issue on
Applications of Mathematical Theory and Equations in Physics
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order
(Articles)
Anwar Zeb
,
M. Ikhlaq Chohan
,
Gul Zaman
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38136
5,299
Downloads
8,692
Views
Citations
Differential Transform Method for Some Delay Differential Equations
(Articles)
Baoqing Liu
,
Xiaojian Zhou
,
Qikui Du
Applied Mathematics
Vol.6 No.3
,March 24, 2015
DOI:
10.4236/am.2015.63053
4,847
Downloads
7,964
Views
Citations
Analytical Solutions of System of Non-Linear Differential Equations in the Single-Enzyme, Single-Substrate Reaction with Non-Mechanism-Based Enzyme Inactivation
(Articles)
Govindhan Varadharajan
,
Lakshmanan Rajendran
Applied Mathematics
Vol.2 No.9
,September 19, 2011
DOI:
10.4236/am.2011.29158
4,432
Downloads
8,495
Views
Citations
Explicit Solutions of the Coupled mKdV Equation by the Dressing Method via Local Riemann-Hilbert Problem
(Articles)
Ting Su
,
Guohua Ding
,
Zhiwei Wang
Applied Mathematics
Vol.7 No.15
,September 21, 2016
DOI:
10.4236/am.2016.715150
1,334
Downloads
2,167
Views
Citations
First Integral Method: A General Formula for Nonlinear Fractional Klein-Gordon Equation Using Advanced Computing Language
(Articles)
Mohamed A. Abdoon
American Journal of Computational Mathematics
Vol.5 No.2
,June 10, 2015
DOI:
10.4236/ajcm.2015.52011
6,070
Downloads
7,210
Views
Citations
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation
(Articles)
Kelei Zhang
,
Zhenfeng Zhang
,
Tao Yuwen
Advances in Pure Mathematics
Vol.12 No.7
,July 28, 2022
DOI:
10.4236/apm.2022.127035
131
Downloads
599
Views
Citations
Homotopy Analysis Method for Large-Amplitude Free Vibrations of Strongly Nonlinear Generalized Duffing Oscillators
(Articles)
Youhua Qian
,
Dongxu Ren
,
Shengmin Chen
,
Lin Ping
Modern Mechanical Engineering
Vol.2 No.4
,November 30, 2012
DOI:
10.4236/mme.2012.24022
4,219
Downloads
8,146
Views
Citations
Mathematical Model of a Hyperbolic Hydraulic Fracture with Tortuosity
(Articles)
M. R. R. Kgatle-Maseko
,
D. P. Mason
Journal of Applied Mathematics and Physics
Vol.9 No.5
,May 31, 2021
DOI:
10.4236/jamp.2021.95078
193
Downloads
813
Views
Citations
Galerkin Method for Numerical Solution of Volterra Integro-Differential Equations with Certain Orthogonal Basis Function
(Articles)
Omotayo Adebayo Taiwo
,
Liman Kibokun Alhassan
,
Olutunde Samuel Odetunde
,
Olatayo Olusegun Alabi
Int'l J. of Modern Nonlinear Theory and Application
Vol.12 No.2
,June 30, 2023
DOI:
10.4236/ijmnta.2023.122005
108
Downloads
533
Views
Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations
(Articles)
Peng Guo
Journal of Applied Mathematics and Physics
Vol.7 No.10
,October 24, 2019
DOI:
10.4236/jamp.2019.710166
1,034
Downloads
3,733
Views
Citations
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