Caputo Derivative - Articles - Scientific Research Publishing

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 8,681 Downloads 13,527 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 5,566 Downloads 10,336 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 1,320 Downloads 2,254 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 959 Downloads 1,882 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 782 Downloads 1,437 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 7,556 Downloads 12,088 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 5,947 Downloads 9,618 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 4,099 Downloads 5,870 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 4,743 Downloads 5,833 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 4,658 Downloads 5,651 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 4,938 Downloads 6,067 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 4,041 Downloads 5,132 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 1,892 Downloads 3,966 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 729 Downloads 1,367 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 411 Downloads 788 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 205 Downloads 621 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
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 28 Downloads 110 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 3,246 Downloads 5,056 Views Citations
Fractionalization of a Class of Semi-Linear Differential Equations (Articles)

Issic K. C. Leung, K. Gopalsamy

Applied Mathematics Vol.8 No.11，November 30, 2017

DOI: 10.4236/am.2017.811124 1,201 Downloads 2,263 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 644 Downloads 1,862 Views Citations

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