Nonlinear Fractional Differential Equation - Articles

Soliton Solutions and Numerical Treatment of the Nonlinear Schrodinger’s Equation Using Modified Adomian Decomposition Method (Articles)

Abeer Al-Shareef, Alyaa A. Al Qarni, Safa Al-Mohalbadi, Huda O. Bakodah

Journal of Applied Mathematics and Physics Vol.4 No.12，December 26, 2016

DOI: 10.4236/jamp.2016.412215 1,768 Downloads 4,101 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 8,181 Downloads 11,227 Views Citations
Existence Theorem for a Nonlinear Functional Integral Equation and an Initial Value Problem of Fractional Order in L₁(R₊) (Articles)

Ibrahim Abouelfarag Ibrahim, Tarek S. Amer, Yasser M. Aboessa

Applied Mathematics Vol.4 No.2，February 28, 2013

DOI: 10.4236/am.2013.42060 4,737 Downloads 7,595 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 5,593 Downloads 10,940 Views Citations
Finite Volume Element Method for Fractional Order Neutral Time-Delay Differential Equations (Articles)

Zicheng Wei, Qing Yang

Engineering Vol.17 No.1，January 20, 2025

DOI: 10.4236/eng.2025.171003 28 Downloads 220 Views Citations
Reconstruct the Heat Conduction Model with Memory Dependent Derivative (Articles)

Wenwen Sun, Jinliang Wang

Applied Mathematics Vol.9 No.9，September 27, 2018

DOI: 10.4236/am.2018.99072 1,061 Downloads 2,186 Views Citations
Application of Trial Equation Method for Solving the Benjamin Ono Equation (Articles)

Yang Li

Journal of Applied Mathematics and Physics Vol.2 No.3，February 25, 2014

DOI: 10.4236/jamp.2014.23005 3,577 Downloads 5,523 Views Citations
Trial Equation Method for Solving the Improved Boussinesq Equation (Articles)

Yang Li

Advances in Pure Mathematics Vol.4 No.2，February 28, 2014

DOI: 10.4236/apm.2014.42007 4,738 Downloads 7,075 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 9,303 Downloads 21,213 Views Citations
Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method (Articles)

Md. Mamun-Ur-Rashid Khan

Journal of Applied Mathematics and Physics Vol.7 No.1，January 7, 2019

DOI: 10.4236/jamp.2019.71001 1,309 Downloads 4,323 Views Citations
A Note on Crank-Nicolson Scheme for Burgers’ Equation (Articles)

Kanti Pandey, Lajja Verma

Applied Mathematics Vol.2 No.7，July 15, 2011

DOI: 10.4236/am.2011.27118 9,902 Downloads 19,896 Views Citations
An Instability Result to a Certain Vector Differential Equation of the Sixth Order (Articles)

Cemil Tunç

Applied Mathematics Vol.3 No.9，September 27, 2012

DOI: 10.4236/am.2012.39147 3,207 Downloads 5,344 Views Citations
New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation (Articles)

Md. Nur Alam, Fethi Bin Muhammad Belgacem

Advances in Pure Mathematics Vol.6 No.3，February 29, 2016

DOI: 10.4236/apm.2016.63014 3,803 Downloads 5,738 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research
Nanoparticle Charge in Fluid from Atomic Force Microscopy Forces within the Nonlinear Poisson-Boltzmann Equation (Articles)

Fredy R. Zypman

Journal of Applied Mathematics and Physics Vol.6 No.6，June 28, 2018

DOI: 10.4236/jamp.2018.66110 699 Downloads 1,545 Views Citations
Thermodynamic Consistency and Thermomechanical Dynamics (TMD) for Nonequilibrium Irreversible Mechanism of Heat Engines (Articles)

Hiroshi Uechi, Lisa Uechi, Schun T. Uechi

Journal of Applied Mathematics and Physics Vol.9 No.6，June 30, 2021

DOI: 10.4236/jamp.2021.96093 287 Downloads 1,336 Views Citations
Thermomechanical Dynamics (TMD) and Bifurcation-Integration Solutions in Nonlinear Differential Equations with Time-Dependent Coefficients (Articles)

Hiroshi Uechi, Lisa Uechi, Schun T. Uechi

Journal of Applied Mathematics and Physics Vol.12 No.5，May 24, 2024

DOI: 10.4236/jamp.2024.125108 96 Downloads 311 Views Citations
Selective Impact of Dispersion and Nonlinearity on Waves and Solitary Wave in a Strongly Nonlinear and Flattened Waveguide (Articles)

Christian Regis Ngouo Tchinda, Marcelle Nina Zambo Abou’ou, Jean Roger Bogning

Open Journal of Applied Sciences Vol.14 No.7，July 19, 2024

DOI: 10.4236/ojapps.2024.147113 78 Downloads 283 Views Citations
Classification of All Single Traveling Wave Solutions to (3 + 1)-Dimensional Breaking Soliton Equation (Articles)

Yang Li

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

DOI: 10.4236/jamp.2014.24006 3,283 Downloads 5,076 Views Citations
Application of Classification of Traveling Wave Solutions to the Zakhrov-Kuznetsov-Benjamin-Bona-Mahony Equation (Articles)

Li Yang

Applied Mathematics Vol.5 No.10，June 3, 2014

DOI: 10.4236/am.2014.510135 3,598 Downloads 5,101 Views Citations
On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions (Articles)

A. Adiloglu Nabiev

Applied Mathematics Vol.7 No.18，December 28, 2016

DOI: 10.4236/am.2016.718190 1,746 Downloads 3,280 Views Citations

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