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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
3,366
Views
Citations
An Image Enhancement Method Based on Fractional Calculus and Retinex
(Articles)
Jingang Cao
Journal of Computer and Communications
Vol.6 No.11
, November 14, 2018
DOI:
10.4236/jcc.2018.611005
986
Downloads
2,908
Views
Citations
Certain Problem for Starlike Functions with Respect to Other Points
(Articles)
Ghassan H. Esa
Open Access Library Journal
Vol.8 No.4
, April 30, 2021
DOI:
10.4236/oalib.1107383
232
Downloads
967
Views
Citations
Adomian Decomposition Method for Solving Fractional Time-Klein-Gordon Equations Using Maple
(Articles)
Dalal Albogami
,
Dalal Maturi
,
Hashim Alshehri
Applied Mathematics
Vol.14 No.6
, June 6, 2023
DOI:
10.4236/am.2023.146024
441
Downloads
1,717
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
64
Downloads
343
Views
Citations
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm
(Articles)
Jingqi Han
,
Litan Yan
Journal of Applied Mathematics and Physics
Vol.6 No.4
, April 27, 2018
DOI:
10.4236/jamp.2018.64078
911
Downloads
2,125
Views
Citations
On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium
(Articles)
Ahmed M. A. El-Sayed
,
Saad Z. Rida
,
Anas A. M. Arafa
Applied Mathematics
Vol.2 No.12
, December 27, 2011
DOI:
10.4236/am.2011.212214
5,193
Downloads
8,693
Views
Citations
Anomalous diffusion in a variable area whose boundary moves with a constant speed
(Articles)
Xicheng Li
Open Journal of Applied Sciences
Vol.2 No.4B
, January 16, 2013
DOI:
10.4236/ojapps.2012.24B042
3,957
Downloads
5,747
Views
Citations
Hypergeometric Functions: From One Scalar Variable to Several Matrix Arguments, in Statistics and Beyond
(Invited Paper)
T. Pham-Gia
,
Dinh Ngoc Thanh
Open Journal of Statistics
Vol.6 No.5
, October 27, 2016
DOI:
10.4236/ojs.2016.65078
3,059
Downloads
7,292
Views
Citations
Hermite Solution of Bagley-Torvik Equation of Fractional Order
(Articles)
Tamour Zubair
,
Marriam Sajjad
,
Rehmatullah Madni
,
Amna Shabir
International Journal of Modern Nonlinear Theory and Application
Vol.6 No.3
, August 14, 2017
DOI:
10.4236/ijmnta.2017.63010
1,494
Downloads
3,689
Views
Citations
Some Parameterized Simpson-Mercer Type Inequalities for General Fractional Operators
(Articles)
Jen Chieh Lo
Advances in Pure Mathematics
Vol.16 No.3
, March 23, 2026
DOI:
10.4236/apm.2026.163010
39
Downloads
193
Views
Citations
Integral Means of Univalent Solution for Fractional Differential Equation
(Articles)
Rabha W. Ibrahim
,
Maslina Darus
Applied Mathematics
Vol.3 No.6
, June 26, 2012
DOI:
10.4236/am.2012.36091
3,883
Downloads
6,801
Views
Citations
Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation
(Articles)
Mohammed S. Mechee
,
Norazak Senu
Applied Mathematics
Vol.3 No.8
, August 1, 2012
DOI:
10.4236/am.2012.38126
6,683
Downloads
12,053
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
4,980
Downloads
7,654
Views
Citations
Numerical Solution of Fractional Differential Equations
(Articles)
Adnan Daraghmeh
,
Naji Qatanani
,
Aya Saadeh
Applied Mathematics
Vol.11 No.11
, November 13, 2020
DOI:
10.4236/am.2020.1111074
2,312
Downloads
10,322
Views
Citations
Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative
(Articles)
Ann Al Sawoor
,
Miloud Sadkane
Applied Mathematics
Vol.11 No.12
, December 9, 2020
DOI:
10.4236/am.2020.1112084
554
Downloads
1,766
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
Some Hermite-Hadamard-Mercer Inequalities for General Fractional Convex on the Coordinates
(Articles)
Jen Chieh Lo
Advances in Pure Mathematics
Vol.15 No.10
, September 28, 2025
DOI:
10.4236/apm.2025.1510035
57
Downloads
343
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
127
Downloads
569
Views
Citations
Fractional Hypoellipticity for Degenerate Kinetic Fokker-Planck Equations with Multiplicative Lévy Noise: Critical Degeneracy Thresholds and Hydrodynamic Limits
(Articles)
Daniel Serge Eyia Nnanga
,
René Essono
,
Raoul Domingo Ayissi
Journal of Applied Mathematics and Physics
Vol.14 No.2
, February 28, 2026
DOI:
10.4236/jamp.2026.142048
59
Downloads
272
Views
Citations
An Arbitrary (Fractional) Orders Differential Equation with Internal Nonlocal and Integral Conditions
(Articles)
Ahmed El-Sayed
,
E. Bin-Taher
Advances in Pure Mathematics
Vol.1 No.3
, June 3, 2011
DOI:
10.4236/apm.2011.13013
5,960
Downloads
12,366
Views
Citations
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