Legendre Pseudo-Spectral Method; Multi-Order Fractional Differential Equations; Caputo Derivative - Articles

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 8,151 Downloads 12,751 Views Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order (Articles)

A. M. Kawala

Advances in Pure Mathematics Vol.8 No.12，December 19, 2018

DOI: 10.4236/apm.2018.812051 1,273 Downloads 2,633 Views Citations
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation (Articles)

N. H. Sweilam, M. M. Khader, M. Adel

Applied Mathematics Vol.5 No.19，November 18, 2014

DOI: 10.4236/am.2014.519301 5,073 Downloads 6,591 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 2,224 Downloads 5,263 Views Citations
Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations (Articles)

Minjie Li, Yiliang Liu

Open Journal of Applied Sciences Vol.3 No.1B1，July 11, 2013

DOI: 10.4236/ojapps.2013.31B1011 6,427 Downloads 10,558 Views Citations
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 3,886 Downloads 6,663 Views Citations
Approximate Technique for Solving Class of Fractional Variational Problems (Articles)

Emad M. Solouma, Mohamed M. Khader

Applied Mathematics Vol.6 No.5，May 19, 2015

DOI: 10.4236/am.2015.65078 3,782 Downloads 4,896 Views Citations
New Implementation of Legendre Polynomials for Solving Partial Differential Equations (Articles)

Ali Davari, Abozar Ahmadi

Applied Mathematics Vol.4 No.12，December 3, 2013

DOI: 10.4236/am.2013.412224 5,617 Downloads 9,010 Views Citations
Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative (Articles)

Ann Al Sawoor, Miloud Sadkane

Applied Mathematics Vol.11 No.12，December 9, 2020

DOI: 10.4236/am.2020.1112084 391 Downloads 1,246 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
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 886 Downloads 2,027 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 1,008 Downloads 1,998 Views Citations
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 26 Downloads 135 Views Citations
Fractional Versions of the Fundamental Theorem of Calculus (Articles)

Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira

Applied Mathematics Vol.4 No.7A，July 8, 2013

DOI: 10.4236/am.2013.47A006 10,125 Downloads 15,334 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 4,237 Downloads 5,645 Views Citations
Local Discontinuous Galerkin Method for the Time-Fractional KdV Equation with the Caputo-Fabrizio Fractional Derivative (Articles)

Huanhuan Wang, Xiaoyan Xu, Junmei Dou, Ting Zhang, Leilei Wei

Journal of Applied Mathematics and Physics Vol.10 No.6，June 24, 2022

DOI: 10.4236/jamp.2022.106132 175 Downloads 800 Views Citations
A Hybrid ESA-CCD Method for Variable-Order Time-Fractional Diffusion Equations (Articles)

Xiaoxue Lu, Chunhua Zhang, Huiling Xue, Bowen Zhong

Journal of Applied Mathematics and Physics Vol.12 No.9，September 10, 2024

DOI: 10.4236/jamp.2024.129183 41 Downloads 234 Views Citations
Study for System of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative (Articles)

Yanping Zheng, Wenxia Wang

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

DOI: 10.4236/am.2013.47A002 3,652 Downloads 6,253 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction-Subdiffusion Equation (Articles)

Peng Zhu, Shenglan Xie

American Journal of Computational Mathematics Vol.6 No.4，December 21, 2016

DOI: 10.4236/ajcm.2016.64034 2,025 Downloads 3,855 Views Citations
Application of HAM for Nonlinear Integro-Differential Equations of Order Two (Articles)

Zainidin Eshkuvatov, Davron Khayrullaev, Muzaffar Nurillaev, Shalela Mohd Mahali, Anvar Narzullaev

Journal of Applied Mathematics and Physics Vol.11 No.1，January 17, 2023

DOI: 10.4236/jamp.2023.111005 127 Downloads 584 Views Citations
Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions (Articles)

Zhenghui Gao, Liu Yang, Gang Liu

Applied Mathematics Vol.4 No.6，June 3, 2013

DOI: 10.4236/am.2013.46118 5,911 Downloads 11,391 Views Citations

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