Fractional-Order Differential Equations - Articles

A New Technique for Solving Fractional Order Systems: Hermite Collocation Method (Articles)

Nilay Akgonullu Pirim, Fatma Ayaz

Applied Mathematics Vol.7 No.18，December 12, 2016

DOI: 10.4236/am.2016.718182 6,396 Downloads 8,120 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
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 5,439 Views Citations
A Fractional Order Model for the Transmission Dynamics of Measles with Vaccination (Articles)

Nnaemeka S. Aguegboh, Nkem R. Nwokoye, Netochukwu E. Onyiaji, Ogechi R. Amanso, Dominic O. Oranugo

Open Access Library Journal Vol.7 No.10，October 15, 2020

DOI: 10.4236/oalib.1106670 395 Downloads 1,583 Views Citations
Legendre-Weighted Residual Methods for System of Fractional Order Differential Equations (Articles)

Umme Ruman, Md. Shafiqul Islam

Journal of Applied Mathematics and Physics Vol.12 No.9，September 27, 2024

DOI: 10.4236/jamp.2024.129190 51 Downloads 224 Views Citations
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method (Articles)

Muhammad Younis, Asim Zafar

Applied Mathematics Vol.5 No.1，December 25, 2013

DOI: 10.4236/am.2014.51001 9,288 Downloads 21,166 Views Citations
Electromagnetic Interpretation of Fractional-Order Elements (Articles)

Guishu Liang, Jiawei Hao, Dongqing Shan

Journal of Modern Physics Vol.8 No.14，December 21, 2017

DOI: 10.4236/jmp.2017.814136 1,057 Downloads 2,126 Views Citations
Existence and Uniqueness of Solution for a Fractional Order Integro-Differential Equation with Non-Local and Global Boundary Conditions (Articles)

Mehran Fatemi, Nihan Aliev, Sedaghat Shahmorad

Applied Mathematics Vol.2 No.10，October 14, 2011

DOI: 10.4236/am.2011.210179 5,581 Downloads 10,900 Views Citations
Finite Volume Element Method for Fractional Order Neutral Time-Delay Differential Equations (Articles)

Zicheng Wei, Qing Yang

Engineering Vol.17 No.1，January 20, 2025

DOI: 10.4236/eng.2025.171003 24 Downloads 173 Views Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method (Articles)

Muhammad Younis

Applied Mathematics Vol.5 No.13，July 10, 2014

DOI: 10.4236/am.2014.513186 4,844 Downloads 7,140 Views Citations
Discretization of Fractional Order Differentiator and Integrator with Different Fractional Orders (Articles)

Qi Zhang, Baoye Song, Huadong Zhao, Jiansheng Zhang

Intelligent Control and Automation Vol.8 No.2，May 10, 2017

DOI: 10.4236/ica.2017.82006 1,662 Downloads 3,045 Views Citations
Dynamics and Synchronization of Memristor-Based Fractional-Order System (Articles)

Hongmin Deng, Qionghua Wang

Int'l J. of Modern Nonlinear Theory and Application Vol.2 No.4，December 2, 2013

DOI: 10.4236/ijmnta.2013.24031 4,976 Downloads 9,082 Views Citations
Control Chaos in System with Fractional Order (Articles)

Yamin Wang, Xiaozhou Yin, Yong Liu

Journal of Modern Physics Vol.3 No.6，June 25, 2012

DOI: 10.4236/jmp.2012.36067 5,443 Downloads 9,539 Views Citations
Solving Ordinary Differential Equations with Evolutionary Algorithms (Articles)

Bakre Omolara Fatimah, Wusu Ashiribo Senapon, Akanbi Moses Adebowale

Open Journal of Optimization Vol.4 No.3，September 4, 2015

DOI: 10.4236/ojop.2015.43009 4,372 Downloads 6,522 Views Citations
An Algorithm to Optimize the Calculation of the Fourth Order Runge-Kutta Method Applied to the Numerical Integration of Kinetics Coupled Differential Equations (Articles)

Sadao Isotani, Walter Maigon Pontuschka, Seiji Isotani

Applied Mathematics Vol.3 No.11，November 7, 2012

DOI: 10.4236/am.2012.311218 8,015 Downloads 13,697 Views Citations
On the Meromorphic Solutions of Fermat-Type Differential Equations (Articles)

Dengfeng Liu, Biao Pan

Journal of Applied Mathematics and Physics Vol.10 No.9，September 30, 2022

DOI: 10.4236/jamp.2022.109188 151 Downloads 590 Views Citations
This article belongs to the Special Issue on Ordinary Differential Equations and Its Applications
Time delay in non-lethal infectious diseases (Articles)

R. De Luca

Natural Science Vol.4 No.8，August 29, 2012

DOI: 10.4236/ns.2012.48075 4,704 Downloads 7,101 Views Citations
The Discrete Agglomeration Model: Equivalent Problems (Articles)

James L. Moseley

Applied Mathematics Vol.3 No.11，November 20, 2012

DOI: 10.4236/am.2012.311236 4,162 Downloads 6,466 Views Citations
Laplace Transform, Non-Constant Coefficients Differential Equations and Applications to Riccati Equation (Articles)

Malick Ndiaye

Applied Mathematics Vol.11 No.7，July 22, 2020

DOI: 10.4236/am.2020.117043 965 Downloads 4,760 Views Citations
Mean Square Solutions of Second-Order Random Differential Equations by Using the Differential Transformation Method (Articles)

Ayad R. Khudair, S. A. M. Haddad, Sanaa L. Khalaf

Open Journal of Applied Sciences Vol.6 No.4，April 28, 2016

DOI: 10.4236/ojapps.2016.64028 2,609 Downloads 3,949 Views Citations
Fractional Order Generalized Thermoelastic Infinite Medium with Cylindrical Cavity Subjected to Harmonically Varying Heat (Articles)

Hamdy M. Youssef, Eman A. Al-Lehaibi

Engineering Vol.3 No.1，January 29, 2011

DOI: 10.4236/eng.2011.31004 5,744 Downloads 10,265 Views Citations

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