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 10,524 Downloads 15,994 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 6,104 Downloads 11,848 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 1,776 Downloads 3,291 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 1,407 Downloads 3,136 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 1,130 Downloads 2,442 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 8,332 Downloads 13,157 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 6,742 Downloads 11,104 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 4,473 Downloads 6,830 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 5,223 Downloads 6,970 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 5,558 Downloads 7,682 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 4,371 Downloads 6,074 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 2,436 Downloads 5,958 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 1,005 Downloads 2,383 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 572 Downloads 1,409 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 524 Downloads 1,632 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 280 Downloads 1,190 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 107 Downloads 518 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 66 Downloads 339 Views Citations
Real Options Assessment in the Time-Fractional Heston Model with Jump and Inertia (Articles)

Ngoyi Landu Tresor, René Gilles Bokolo, Mabela Rostin, Walo Omana

Journal of Applied Mathematics and Physics Vol.13 No.6, June 12, 2025

DOI: 10.4236/jamp.2025.136111 58 Downloads 307 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 82 Downloads 493 Views Citations

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