Caputo Fractional Difference - Articles - Scientific Research Publishing

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 5,121 Downloads 6,673 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Fractional Difference Approximations for Time-Fractional Telegraph Equation (Articles)

Ru Liu

Journal of Applied Mathematics and Physics Vol.6 No.1，January 31, 2018

DOI: 10.4236/jamp.2018.61029 1,034 Downloads 2,216 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 4,281 Downloads 5,726 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 59 Downloads 275 Views Citations
Explicit Approximation Solutions and Proof of Convergence of the Space-Time Fractional Advection Dispersion Equations (Articles)

E. A. Abdel-Rehim

Applied Mathematics Vol.4 No.10，October 14, 2013

DOI: 10.4236/am.2013.410193 3,452 Downloads 5,589 Views Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations (Articles)

Peng Guo

Journal of Applied Mathematics and Physics Vol.7 No.10，October 24, 2019

DOI: 10.4236/jamp.2019.710166 1,251 Downloads 4,210 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 2,292 Downloads 5,426 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 5,978 Downloads 11,495 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 1,314 Downloads 2,728 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 10,310 Downloads 15,487 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 6,541 Downloads 10,688 Views Citations
Positive Solutions for Fractional Differential Equations with Multi-Point Boundary Value Problems (Articles)

Lina Zhou, Weihua Jiang

Journal of Applied Mathematics and Physics Vol.2 No.5，April 24, 2014

DOI: 10.4236/jamp.2014.25014 4,395 Downloads 6,559 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 3,826 Downloads 4,975 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 436 Downloads 1,356 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
Discrete Chaos in Fractional Henon Map (Articles)

Tongchun Hu

Applied Mathematics Vol.5 No.15，August 8, 2014

DOI: 10.4236/am.2014.515218 4,495 Downloads 5,819 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 41 Downloads 205 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 30 Downloads 171 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 8,212 Downloads 12,854 Views Citations
Existence and Stability Analysis of Fractional Order BAM Neural Networks with a Time Delay (Articles)

Yuping Cao, Chuanzhi Bai

Applied Mathematics Vol.6 No.12，November 25, 2015

DOI: 10.4236/am.2015.612181 4,105 Downloads 5,520 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 925 Downloads 2,096 Views Citations

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