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Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control
(Articles)
Zhanhong Liang
,
Jinfeng Gao
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.3
,September 27, 2016
DOI:
10.4236/ijmnta.2016.53013
1,575
Downloads
2,705
Views
Citations
Pricing Study on Two Kinds of Power Options in Jump-Diffusion Models with Fractional Brownian Motion and Stochastic Rate
(Articles)
Jin Li
,
Kaili Xiang
,
Chuanyi Luo
Applied Mathematics
Vol.5 No.16
,August 29, 2014
DOI:
10.4236/am.2014.516234
3,177
Downloads
3,894
Views
Citations
Homotopy Analysis Method for a Conservative Nonlinear Oscillator with Fractional Power
(Articles)
Huaxiong Chen
,
Yanyan Wang
Journal of Applied Mathematics and Physics
Vol.9 No.1
,January 6, 2021
DOI:
10.4236/jamp.2021.91004
401
Downloads
1,129
Views
Citations
On the Strongly Damped Wave Equations with Critical Nonlinearities
(Articles)
Qinghua Zhang
Journal of Applied Mathematics and Physics
Vol.4 No.4
,April 26, 2016
DOI:
10.4236/jamp.2016.44080
1,822
Downloads
2,500
Views
Citations
Is –A
-1
an Infinitesimal Generator?
(Articles)
Ru Liu
Journal of Applied Mathematics and Physics
Vol.6 No.10
,October 10, 2018
DOI:
10.4236/jamp.2018.610169
423
Downloads
851
Views
Citations
The Equilibrium of Fractional Derivative and Second Derivative: The Mechanics of a Power-Law Visco-Elastic Solid
(Articles)
Franz Konstantin Fuss
Applied Mathematics
Vol.7 No.16
,October 14, 2016
DOI:
10.4236/am.2016.716156
1,566
Downloads
2,556
Views
Citations
Applications of Fractional Calculus to Newtonian Mechanics
(Articles)
Gabriele U. Varieschi
Journal of Applied Mathematics and Physics
Vol.6 No.6
,June 21, 2018
DOI:
10.4236/jamp.2018.66105
1,967
Downloads
6,267
Views
Citations
Revisiting the Curie-Von Schweidler Law for Dielectric Relaxation and Derivation of Distribution Function for Relaxation Rates as Zipf’s Power Law and Manifestation of Fractional Differential Equation for Capacitor
(Articles)
Shantanu Das
Journal of Modern Physics
Vol.8 No.12
,November 27, 2017
DOI:
10.4236/jmp.2017.812120
1,105
Downloads
2,762
Views
Citations
Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term
(Articles)
Vadivel Sadhasivam
,
Jayapal Kavitha
Applied Mathematics
Vol.7 No.3
,February 29, 2016
DOI:
10.4236/am.2016.73025
2,424
Downloads
3,423
Views
Citations
Oscillation for a Class of Fractional Differential Equation
(Articles)
Qian Feng
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.7 No.7
,July 10, 2019
DOI:
10.4236/jamp.2019.77096
912
Downloads
2,071
Views
Citations
Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations
(Articles)
Xulong Wang
,
Siying Long
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 21, 2022
DOI:
10.4236/jamp.2022.1010203
82
Downloads
519
Views
Citations
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mehdi Safari
Applied Mathematics
Vol.2 No.9
,September 19, 2011
DOI:
10.4236/am.2011.29150
6,458
Downloads
11,674
Views
Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mohammad Danesh
,
Mehdi Safari
Advances in Pure Mathematics
Vol.1 No.6
,November 24, 2011
DOI:
10.4236/apm.2011.16062
7,150
Downloads
15,135
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
1,544
Downloads
2,881
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
980
Downloads
1,955
Views
Citations
Ground State Solutions for p-Fractional Choquard-Kirchhoff Equations Involving Electromagnetic Fields and Critical Nonlinearity
(Articles)
Xueqian Yan
Open Access Library Journal
Vol.9 No.6
,June 15, 2022
DOI:
10.4236/oalib.1108837
70
Downloads
476
Views
Citations
Is the Driving Force of a Continuous Process a Brownian Motion or Fractional Brownian Motion?
(Articles)
Xinbing Kong
,
Bingyi Jing
,
Cuixia Li
Journal of Mathematical Finance
Vol.3 No.4
,November 15, 2013
DOI:
10.4236/jmf.2013.34048
3,068
Downloads
5,503
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
4,851
Downloads
8,867
Views
Citations
Forced Oscillation of Solutions of a Fractional Neutral Partial Functional Differential Equation
(Articles)
V. Sadhasivam
,
J. Kavitha
Applied Mathematics
Vol.6 No.8
,July 24, 2015
DOI:
10.4236/am.2015.68124
3,544
Downloads
4,730
Views
Citations
Fractional Snow/Non-Snow Cover Mapping through Incorporation of Thermal Band in Snow Index Design
(Articles)
B. C. Yadav
,
Kamal Jain
International Journal of Geosciences
Vol.8 No.11
,November 30, 2017
DOI:
10.4236/ijg.2017.811082
770
Downloads
1,653
Views
Citations
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