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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
6,266
Downloads
7,932
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
2,157
Downloads
5,283
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
287
Downloads
1,307
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
9,105
Downloads
21,075
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
983
Downloads
1,961
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
5,402
Downloads
10,743
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
4,707
Downloads
7,113
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
1,551
Downloads
2,904
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
4,852
Downloads
8,872
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
5,316
Downloads
9,251
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
4,248
Downloads
6,346
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
7,762
Downloads
13,677
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
100
Downloads
435
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
4,590
Downloads
7,014
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
4,061
Downloads
6,325
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
801
Downloads
4,360
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
2,509
Downloads
3,796
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
5,652
Downloads
10,126
Views
Citations
Simplified Optimization Routine for Tuning Robust Fractional Order Controllers
(Articles)
Cristina I. Muresan
American Journal of Computational Mathematics
Vol.3 No.3B
,October 24, 2013
DOI:
10.4236/ajcm.2013.33B002
4,538
Downloads
6,415
Views
Citations
Current-Controlled CFTA Based Fractional Order Quadrature Oscillators
(Articles)
Tada Comedang
,
Pattana Intani
Circuits and Systems
Vol.7 No.13
,November 21, 2016
DOI:
10.4236/cs.2016.713345
1,636
Downloads
2,856
Views
Citations
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