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 10,313 Downloads 15,499 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 5,979 Downloads 11,499 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 1,665 Downloads 2,973 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 2,730 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 1,043 Downloads 2,110 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 8,213 Downloads 12,860 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 6,542 Downloads 10,693 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 6,560 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 5,121 Downloads 6,676 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 5,039 Downloads 6,411 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 5,462 Downloads 7,319 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 5,730 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 5,432 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 2,098 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 543 Downloads 1,226 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 1,357 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 221 Downloads 901 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 281 Views Citations
Fractional Order Model for Co-Infection of Streptococcus pneumoniae and COVID-19 with Saturated Incidence Force of Infection (Articles)

Chiekezi Zephaniah Opara, Ephraim Ngozi Erumaka, Nneka Onyinyechi Iheonu, Nnamdi Nonso Araka

Open Access Library Journal Vol.11 No.12，December 5, 2024

DOI: 10.4236/oalib.1112569 37 Downloads 161 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 211 Views Citations

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