Fractional Duffing Equation - Articles - Scientific Research Publishing

Natural Transform for Solving Fractional Models (Articles)

Ahmed Safwat Abdel-Rady, Saad Zagloul Rida, Anas Ahmed Mohamed Arafa, Hamdy Ragab Abedl-Rahim

Journal of Applied Mathematics and Physics Vol.3 No.12, December 24, 2015

DOI: 10.4236/jamp.2015.312188 4,014 Downloads 6,227 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 1,533 Downloads 3,084 Views Citations
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method (Articles)

M. Nurul Islam, M. Ali Akbar

Journal of Applied Mathematics and Physics Vol.6 No.1, January 11, 2018

DOI: 10.4236/jamp.2018.61009 1,322 Downloads 3,070 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 725 Views Citations
Fractional Hypoellipticity for Degenerate Kinetic Fokker-Planck Equations with Multiplicative Lévy Noise: Critical Degeneracy Thresholds and Hydrodynamic Limits (Articles)

Daniel Serge Eyia Nnanga, René Essono, Raoul Domingo Ayissi

Journal of Applied Mathematics and Physics Vol.14 No.2, February 28, 2026

DOI: 10.4236/jamp.2026.142048 79 Downloads 354 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 1,223 Downloads 2,759 Views Citations
New Exact Traveling Wave Solutions of (2 + 1)-Dimensional Time-Fractional Zoomeron Equation (Articles)

Zhiyun Zeng, Xiaohua Liu, Yin Zhu, Xue Huang

Journal of Applied Mathematics and Physics Vol.10 No.2, February 17, 2022

DOI: 10.4236/jamp.2022.102026 351 Downloads 1,228 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 5,809 Downloads 11,459 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 8,406 Downloads 11,807 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 4,922 Downloads 8,239 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 3,745 Downloads 5,806 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
Pseudo-Spectral Method for Space Fractional Diffusion Equation (Articles)

Yiting Huang, Minling Zheng

Applied Mathematics Vol.4 No.11, November 5, 2013

DOI: 10.4236/am.2013.411202 4,183 Downloads 7,306 Views Citations
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials (Articles)

Nasser H. Sweilam, Mohamed M. Khader, Mohamed Adel

Applied Mathematics Vol.6 No.4, April 10, 2015

DOI: 10.4236/am.2015.64058 4,451 Downloads 6,350 Views Citations
Finite Element Method for a Kind of Two-Dimensional Space-Fractional Diffusion Equation with Its Implementation (Articles)

Beiping Duan, Zhoushun Zheng, Wen Cao

American Journal of Computational Mathematics Vol.5 No.2, June 10, 2015

DOI: 10.4236/ajcm.2015.52012 4,016 Downloads 6,356 Views Citations
On the Strongly Damped Wave Equations with Critical Nonlinearities (Articles)

Qinghua Zhang

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

DOI: 10.4236/jamp.2016.44080 2,098 Downloads 3,179 Views Citations
A Cauchy Problem for Some Fractional q-Difference Equations with Nonlocal Conditions (Articles)

Maryam Al-Yami

American Journal of Computational Mathematics Vol.6 No.2, June 29, 2016

DOI: 10.4236/ajcm.2016.62017 2,126 Downloads 3,678 Views Citations
On Existence of Solutions of q-Perturbed Quadratic Integral Equations (Articles)

Maryam Al-Yami

American Journal of Computational Mathematics Vol.6 No.2, June 29, 2016

DOI: 10.4236/ajcm.2016.62018 2,130 Downloads 3,428 Views Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials (Articles)

Mushfika Hossain Nova, Hasib Uddin Molla, Sajeda Banu

American Journal of Computational Mathematics Vol.7 No.4, December 15, 2017

DOI: 10.4236/ajcm.2017.74034 1,176 Downloads 2,550 Views Citations
Alternating Segment Explicit-Implicit and Implicit-Explicit Parallel Difference Method for Time Fractional Sub-Diffusion Equation (Articles)

Lifei Wu, Yadi Zhao, Xiaozhong Yang

Journal of Applied Mathematics and Physics Vol.6 No.5, May 28, 2018

DOI: 10.4236/jamp.2018.65089 1,042 Downloads 2,310 Views Citations
A Class of Semi-Implicit Parallel Difference Method for Time Fractional Diffusion Equations (Articles)

Lifei Wu, Jiake Sun, Xiaozhong Yang

Journal of Applied Mathematics and Physics Vol.8 No.1, January 10, 2020

DOI: 10.4236/jamp.2020.81012 832 Downloads 1,862 Views Citations

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