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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
International Journal of Modern Nonlinear Theory and Application
Vol.5 No.3
, September 27, 2016
DOI:
10.4236/ijmnta.2016.53013
1,858
Downloads
3,356
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
3,410
Downloads
4,486
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
610
Downloads
1,766
Views
Citations
Viscoelastic Stress-Strain via CFD Fractional Conformable Derivatives
(Articles)
Saber Talal Radwan Syouri
Applied Mathematics
Vol.16 No.8
, August 8, 2025
DOI:
10.4236/am.2025.168034
124
Downloads
560
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
2,035
Downloads
3,075
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
581
Downloads
1,423
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
1,745
Downloads
3,285
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
2,463
Downloads
7,593
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
1,389
Downloads
3,848
Views
Citations
Quantization of Fractional Singular Lagrangian Systems with Second-Order Derivatives Using Path Integral Method
(Articles)
Eyad Hasan Hasan
,
Osama Abdalla Abu-Haija
Journal of Applied Mathematics and Physics
Vol.13 No.2
, February 25, 2025
DOI:
10.4236/jamp.2025.132031
97
Downloads
468
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
2,632
Downloads
3,995
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
1,125
Downloads
2,627
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
213
Downloads
1,105
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
6,825
Downloads
12,408
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
7,485
Downloads
15,712
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
1,780
Downloads
3,636
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
1,205
Downloads
2,615
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
135
Downloads
962
Views
Citations
The Oscillation of a Class of Fractional Impulsive Partial Differential Equations
(Articles)
Li Fan
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.13 No.9
, September 26, 2025
DOI:
10.4236/jamp.2025.139177
59
Downloads
318
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
3,358
Downloads
6,165
Views
Citations
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