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   253 Downloads  547 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   5,336 Downloads  9,672 Views  Citations

Chelyshkov-Tau Approach for Solving Bagley-Torvik Equation (Articles)

Mohamed El- Gamel, Mahmoud Abd-El-Hady, Magdy El-Azab

Applied Mathematics Vol.8 No.12，December 21, 2017

DOI: 10.4236/am.2017.812128   1,006 Downloads  1,552 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   663 Downloads  1,112 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   6,876 Downloads  10,717 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   7,779 Downloads  11,666 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.1B，July 11, 2013

DOI: 10.4236/ojapps.2013.31B1011   5,552 Downloads  8,873 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   3,977 Downloads  5,532 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   4,572 Downloads  5,408 Views  Citations
This article belongs to the Special Issue on Numerical Analysis

RETRACTED：Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation (Articles)

Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa

Applied Mathematics Vol.6 No.1，January 14, 2015

DOI: 10.4236/am.2015.61014   4,496 Downloads  5,330 Views  Citations

Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation (Articles)

Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa

Applied Mathematics Vol.6 No.3，March 24, 2015

DOI: 10.4236/am.2015.63056   4,706 Downloads  5,476 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   3,910 Downloads  4,780 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   3,464 Downloads  4,074 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   3,724 Downloads  4,495 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   1,639 Downloads  2,992 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   609 Downloads  1,000 Views  Citations

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   532 Downloads  988 Views  Citations

Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative (Articles)

Nan Yao, Zeyu Luo

Journal of Applied Mathematics and Physics Vol.7 No.5，May 23, 2019

DOI: 10.4236/jamp.2019.75072   290 Downloads  459 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   70 Downloads  193 Views  Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application

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   551 Downloads  875 Views  Citations