Homotopy Analysis Method; Approximate Analytical Solution; Fractional Coupled mKdV Equation - Articles

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 7,777 Downloads 21,698 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 811 Downloads 1,897 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 638 Downloads 1,860 Views Citations
Homotopy Analysis Method Solution to Time-Fractional Diffusion with a Moving Boundary (Articles)

Ogugua N. Onyejekwe

Journal of Applied Mathematics and Physics Vol.13 No.6, June 25, 2025

DOI: 10.4236/jamp.2025.136116 83 Downloads 437 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 2,298 Downloads 4,378 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 4,256 Downloads 6,304 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 3,933 Downloads 7,854 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 6,140 Downloads 10,393 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 3,930 Downloads 5,394 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 1,412 Downloads 3,024 Views Citations
Numerical Analysis of Approximate Solutions and Linear Growth in a Glial Cell Dynamics Model (Articles)

Somayyeh Azizi

Journal of Applied Mathematics and Physics Vol.13 No.12, December 24, 2025

DOI: 10.4236/jamp.2025.1312248 134 Downloads 736 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 810 Downloads 2,098 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 5,663 Downloads 9,505 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 5,217 Downloads 8,963 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 4,888 Downloads 9,420 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 6,339 Downloads 7,913 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 327 Downloads 1,224 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 1,552 Downloads 2,819 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 4,519 Downloads 8,924 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 398 Downloads 1,490 Views Citations

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