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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
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
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
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
982
Downloads
1,960
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
2,157
Downloads
5,282
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
10,125
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
1,635
Downloads
2,855
Views
Citations
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
Finite Element Approach for the Solution of First-Order Differential Equations
(Articles)
André Schmidt
,
Horst R. Beyer
,
Matthias Hinze
,
Evangelos N. Vandoros
Journal of Applied Mathematics and Physics
Vol.8 No.10
,October 15, 2020
DOI:
10.4236/jamp.2020.810155
564
Downloads
2,414
Views
Citations
This article belongs to the Special Issue on
Differential Equations and Its Applications
Finite-Time Synchronization of Fractional-Order Chaotic Systems with Different Structures under Stochastic Disturbances
(Articles)
Weiqiu Pan
,
Tianzeng Li
Journal of Computer and Communications
Vol.9 No.6
,June 21, 2021
DOI:
10.4236/jcc.2021.96007
225
Downloads
882
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
7,112
Views
Citations
Minimal Generalized Time-Bandwidth Product Method for Estimating the Optimum Fractional Fourier Order
(Articles)
Lin Tian
,
Zhenming Peng
Journal of Computer and Communications
Vol.3 No.3
,March 17, 2015
DOI:
10.4236/jcc.2015.33002
2,514
Downloads
3,141
Views
Citations
Multiple Solutions for a Class of Variable-Order Fractional Laplacian Equations with Concave-Convex Nonlinearity
(Articles)
Canlin Gan
,
Ting Xiao
,
Qiongfen Zhang
Journal of Applied Mathematics and Physics
Vol.10 No.3
,March 22, 2022
DOI:
10.4236/jamp.2022.103057
94
Downloads
473
Views
Citations
Should We Start with an Easy Task Having a Short Deadline, or a Difficult Task Having a Long Deadline
(Articles)
Miki Adachi
,
Keisuke Adachi
Psychology
Vol.12 No.11
,November 30, 2021
DOI:
10.4236/psych.2021.1211113
267
Downloads
2,045
Views
Citations
Convergence and Superconvergence of Fully Discrete Finite Element for Time Fractional Optimal Control Problems
(Articles)
Yuelong Tang
American Journal of Computational Mathematics
Vol.11 No.1
,March 25, 2021
DOI:
10.4236/ajcm.2021.111005
465
Downloads
1,050
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
5,401
Downloads
10,740
Views
Citations
Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations
(Articles)
Ning Chen
,
Jiqian Chen
Applied Mathematics
Vol.3 No.12
,December 17, 2012
DOI:
10.4236/am.2012.312263
8,047
Downloads
11,032
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
8,058
Downloads
13,295
Views
Citations
Fractal and Fractional Diffusion Equations of Price Changing of Commodity
(Articles)
Tianquan Yun
Applied Mathematics
Vol.4 No.7A
,July 5, 2013
DOI:
10.4236/am.2013.47A005
3,472
Downloads
5,359
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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