Nonlinear Schrodinger Equation; Eigen-Function Method; Fractional Order; Blow-Up; Glabal Attractor - Articles

Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations (Articles)

Guoguang Lin, Keshun Peng

Journal of Applied Mathematics and Physics Vol.11 No.10，October 25, 2023

DOI: 10.4236/jamp.2023.1110196 111 Downloads 333 Views Citations
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

T. A. Nofel

Applied Mathematics Vol.5 No.6，April 2, 2014

DOI: 10.4236/am.2014.56081 8,071 Downloads 10,623 Views Citations
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 7,519 Downloads 21,164 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 6,199 Downloads 7,428 Views Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations (Articles)

Mohamed Z. Mohamed, Tarig M. Elzaki

Applied Mathematics Vol.9 No.4，April 30, 2018

DOI: 10.4236/am.2018.94032 1,812 Downloads 4,412 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 194 Downloads 820 Views Citations
The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation (Articles)

Mohamed Elbadri

Applied Mathematics Vol.14 No.3，March 31, 2023

DOI: 10.4236/am.2023.143014 245 Downloads 1,266 Views Citations
Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5，May 31, 2023

DOI: 10.4236/am.2023.145020 192 Downloads 945 Views Citations
Variational Iteration Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5，May 31, 2023

DOI: 10.4236/am.2023.145021 227 Downloads 1,107 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 21 Downloads 129 Views Citations
Research on Chaos of Nonlinear Singular Integral Equation (Articles)

Yannan Liu, Yu Wang

Journal of Applied Mathematics and Physics Vol.11 No.4，April 28, 2023

DOI: 10.4236/jamp.2023.114075 114 Downloads 425 Views Citations
Fractional-Order Financial System Using Efficient Numerical Methods (Articles)

Hunida Malaikah, Jawaher Faisal Al-Abdali

American Journal of Computational Mathematics Vol.15 No.1，March 31, 2025

DOI: 10.4236/ajcm.2025.151004 42 Downloads 245 Views Citations
Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method (Articles)

Nawal Abdullah Alzaid, Bashayr Ali Alrayiqi

Journal of Applied Mathematics and Physics Vol.7 No.9，September 28, 2019

DOI: 10.4236/jamp.2019.79147 660 Downloads 1,713 Views Citations
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations (Articles)

Thilagarajah Mathanaranjan, Dayalini Vijayakumar

Journal of Applied Mathematics and Physics Vol.9 No.2，February 25, 2021

DOI: 10.4236/jamp.2021.92019 548 Downloads 1,463 Views Citations
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs (Articles)

Mohamed Adel, Mohamed M. Khader

Applied Mathematics Vol.8 No.12，December 14, 2017

DOI: 10.4236/am.2017.812126 934 Downloads 2,135 Views Citations
Galerkin-Bernstein Approximations for the System of Third-Order Nonlinear Boundary Value Problems (Articles)

Snigdha Dhar, Md. Shafiqul Islam

Journal of Applied Mathematics and Physics Vol.12 No.6，June 19, 2024

DOI: 10.4236/jamp.2024.126127 66 Downloads 363 Views Citations
Solution of Nonlinear Advection-Diffusion Equations via Linear Fractional Map Type Nonlinear QCA (Articles)

Shinji Hamada, Hideo Sekino

Journal of Quantum Information Science Vol.6 No.4，December 13, 2016

DOI: 10.4236/jqis.2016.64017 1,384 Downloads 2,603 Views Citations
Gauss-Legendre Iterative Methods and Their Applications on Nonlinear Systems and BVP-ODEs (Articles)

Zhongli Liu, Guoqing Sun

Journal of Applied Mathematics and Physics Vol.4 No.11，November 18, 2016

DOI: 10.4236/jamp.2016.411203 1,847 Downloads 3,170 Views Citations
Existence and Uniqueness of Solution for a Fractional Order Integro-Differential Equation with Non-Local and Global Boundary Conditions (Articles)

Mehran Fatemi, Nihan Aliev, Sedaghat Shahmorad

Applied Mathematics Vol.2 No.10，October 14, 2011

DOI: 10.4236/am.2011.210179 5,590 Downloads 10,929 Views Citations
Fractal and Fractional Diffusion Equations of Price Changing of Commodity (Articles)

Tianquan Yun

Applied Mathematics Vol.4 No.7A，July 5, 2013

DOI: 10.4236/am.2013.47A005 3,581 Downloads 5,377 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application

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