Caputo Type Fractional 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 10,750 Downloads 16,688 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and 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 1,223 Downloads 2,759 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 6,200 Downloads 12,165 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 1,499 Downloads 3,472 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 2,502 Downloads 6,323 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 6,964 Downloads 11,561 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 4,554 Downloads 7,059 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 5,313 Downloads 7,251 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 571 Downloads 1,822 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
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 95 Downloads 503 Views Citations
Natural Transform for Solving Fractional High Order Differential Equations (Articles)

Hanan S. Gafel

Advances in Pure Mathematics Vol.16 No.4, April 30, 2026

DOI: 10.4236/apm.2026.164018 40 Downloads 230 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 8,461 Downloads 13,538 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 4,451 Downloads 6,350 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 1,121 Downloads 2,693 Views Citations
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 330 Downloads 1,403 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 146 Downloads 698 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 83 Downloads 456 Views Citations
Optimal Control and Dynamic Analysis of a New Caputo Fractional Rumor Propagation Prediction Model (Articles)

Lijie You, Sijie Yu

Journal of Applied Mathematics and Physics Vol.14 No.5, May 29, 2026

DOI: 10.4236/jamp.2026.145096 27 Downloads 129 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 137 Downloads 725 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 187 Downloads 827 Views Citations

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