Nonlinear Equations of Fractional Order - Articles

A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method (Articles)

Muhammad Younis

Applied Mathematics Vol.5 No.13, July 10, 2014

DOI: 10.4236/am.2014.513186 5,040 Downloads 7,745 Views Citations
Control Chaos in System with Fractional Order (Articles)

Yamin Wang, Xiaozhou Yin, Yong Liu

Journal of Modern Physics Vol.3 No.6, June 25, 2012

DOI: 10.4236/jmp.2012.36067 5,633 Downloads 10,097 Views Citations
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method (Articles)

Muhammad Younis, Asim Zafar

Applied Mathematics Vol.5 No.1, December 25, 2013

DOI: 10.4236/am.2014.51001 9,580 Downloads 21,866 Views Citations
Electromagnetic Interpretation of Fractional-Order Elements (Articles)

Guishu Liang, Jiawei Hao, Dongqing Shan

Journal of Modern Physics Vol.8 No.14, December 21, 2017

DOI: 10.4236/jmp.2017.814136 1,245 Downloads 2,712 Views Citations
Oscillation Theorems for a Class of Nonlinear Second Order Differential Equations with Damping (Articles)

Xiaojing Wang, Guohua Song

Advances in Pure Mathematics Vol.3 No.1A, January 30, 2013

DOI: 10.4236/apm.2013.31A032 5,027 Downloads 9,602 Views Citations
This article belongs to the Special Issue on Differential Equations and Dynamic Systems
The Lagrangian Method for a Basic Bicycle (Articles)

F. Talamucci

Journal of Applied Mathematics and Physics Vol.2 No.4, March 21, 2014

DOI: 10.4236/jamp.2014.24007 7,610 Downloads 11,592 Views Citations
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation (Articles)

Yufeng Sun, Zheng Zeng, Jie Song

Applied Mathematics Vol.8 No.3, March 24, 2017

DOI: 10.4236/am.2017.83026 2,501 Downloads 6,314 Views Citations
A New Technique for Solving Fractional Order Systems: Hermite Collocation Method (Articles)

Nilay Akgonullu Pirim, Fatma Ayaz

Applied Mathematics Vol.7 No.18, December 12, 2016

DOI: 10.4236/am.2016.718182 6,619 Downloads 8,774 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
Finite Element Approach for the Solution of First-Order Differential Equations (Articles)

André Schmidt, Horst R. Beyer, Matthias Hinze, Evangelos N. Vandoros

Journal of Applied Mathematics and Physics Vol.8 No.10, October 15, 2020

DOI: 10.4236/jamp.2020.810155 937 Downloads 3,520 Views Citations
This article belongs to the Special Issue on Differential Equations and Its Applications
Legendre-Weighted Residual Methods for System of Fractional Order Differential Equations (Articles)

Umme Ruman, Md. Shafiqul Islam

Journal of Applied Mathematics and Physics Vol.12 No.9, September 27, 2024

DOI: 10.4236/jamp.2024.129190 106 Downloads 507 Views Citations
Natural Transform for Solving Fractional High Order Differential Equations (Articles)

Hanan S. Gafel

Advances in Pure Mathematics Vol.16 No.4, April 30, 2026

DOI: 10.4236/apm.2026.164018 40 Downloads 221 Views Citations
Existence Solution for 5th Order Differential Equations under Some Conditions (Articles)

Sayada Nabhan Odda

Applied Mathematics Vol.1 No.4, October 29, 2010

DOI: 10.4236/am.2010.14035 4,462 Downloads 9,430 Views Citations
The Solution of Binary Nonlinear Operator Equations with Applications (Articles)

Baomin Qiao

Applied Mathematics Vol.4 No.9, August 30, 2013

DOI: 10.4236/am.2013.49167 4,884 Downloads 7,209 Views Citations
New Fourth and Fifth-Order Iterative Methods for Solving Nonlinear Equations (Articles)

Muhammad Saqib, Muhammad Iqbal, Shahid Ali, Tariq Ismaeel

Applied Mathematics Vol.6 No.8, July 14, 2015

DOI: 10.4236/am.2015.68114 4,928 Downloads 6,997 Views Citations
Stability and Boundedness of Solutions of Certain Non-Autonomous Third Order Nonlinear Differential Equations (Articles)

Akinwale L. Olutimo, Folashade O. Akinwole

Journal of Applied Mathematics and Physics Vol.4 No.1, January 27, 2016

DOI: 10.4236/jamp.2016.41018 4,164 Downloads 5,752 Views Citations
Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations (Articles)

Akinwale L. Olutimo

International Journal of Modern Nonlinear Theory and Application Vol.5 No.1, March 7, 2016

DOI: 10.4236/ijmnta.2016.51005 2,913 Downloads 4,143 Views Citations
An Explicit Single-Step Nonlinear Numerical Method for First Order Initial Value Problems (IVPs) (Articles)

Omolara Fatimah Bakre, Ashiribo Senapon Wusu, Moses Adebowale Akanbi

Journal of Applied Mathematics and Physics Vol.8 No.9, September 3, 2020

DOI: 10.4236/jamp.2020.89130 749 Downloads 1,960 Views Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay (Articles)

Anran Li, Qing Yang

Engineering Vol.17 No.1, January 21, 2025

DOI: 10.4236/eng.2025.171004 137 Downloads 721 Views Citations
Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations (Articles)

Ning Chen, Jiqian Chen

Applied Mathematics Vol.3 No.12, December 17, 2012

DOI: 10.4236/am.2012.312263 8,403 Downloads 11,797 Views Citations
Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method (Articles)

Yin Yang

Applied Mathematics Vol.4 No.1, January 28, 2013

DOI: 10.4236/am.2013.41020 8,443 Downloads 13,514 Views Citations

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