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History of Krylov-Bogoliubov-Mitropolsky Methods of Nonlinear Oscillations
(Articles)
Agamenon R. E. Oliveira
Advances in Historical Studies
Vol.6 No.1
,March 21, 2017
DOI:
10.4236/ahs.2017.61003
2,324
Downloads
4,334
Views
Citations
Existence and Uniqueness of Solution to Two-Point Boundary Value for Two-Sided Fractional Differential Equations
(Articles)
Ailing Shi
,
Yu Bai
Applied Mathematics
Vol.4 No.6
,June 14, 2013
DOI:
10.4236/am.2013.46127
5,124
Downloads
7,514
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
6,476
Downloads
11,549
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
7,160
Downloads
14,858
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
449
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
2,162
Downloads
5,012
Views
Citations
Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method
(Articles)
Ömür Umut
,
Serpil Yaşar
Int'l J. of Modern Nonlinear Theory and Application
Vol.8 No.1
,February 1, 2019
DOI:
10.4236/ijmnta.2019.81002
1,657
Downloads
3,502
Views
Citations
Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method
(Articles)
Rubayyi T. Alqahtani
Applied Mathematics
Vol.6 No.13
,November 30, 2015
DOI:
10.4236/am.2015.613190
2,481
Downloads
3,420
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
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
2,522
Downloads
3,689
Views
Citations
An Inequality for Second Order Differential Equation with Retarded Argument
(Articles)
Erdoğan Şen
Advances in Pure Mathematics
Vol.1 No.4
,July 28, 2011
DOI:
10.4236/apm.2011.14043
5,154
Downloads
10,643
Views
Citations
A Closed Form Solution to a Special Normal Form of Riccati Equation
(Articles)
Haiduke Sarafian
Advances in Pure Mathematics
Vol.1 No.5
,September 21, 2011
DOI:
10.4236/apm.2011.15053
4,383
Downloads
8,927
Views
Citations
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
(Articles)
R. F. Al-Bar
Applied Mathematics
Vol.6 No.12
,November 26, 2015
DOI:
10.4236/am.2015.612184
3,063
Downloads
4,253
Views
Citations
A Control Method for SVG Based on Differential Geometry Nonlinear Control
(Articles)
Qiyong Pan
,
Jin Wu
,
Yi-huai Wang
,
Jingfei Ni
,
Shan Zhong
Energy and Power Engineering
Vol.3 No.3
,July 27, 2011
DOI:
10.4236/epe.2011.33034
5,089
Downloads
8,240
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
405
Downloads
1,013
Views
Citations
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order
(Articles)
Anwar Zeb
,
M. Ikhlaq Chohan
,
Gul Zaman
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38136
5,314
Downloads
8,605
Views
Citations
Existence of Positive Solutions to Semipositone Fractional Differential Equations
(Articles)
Xinsheng Du
Applied Mathematics
Vol.7 No.14
,August 17, 2016
DOI:
10.4236/am.2016.714127
1,859
Downloads
2,919
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
6,273
Downloads
7,750
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and its Application
Existence of Solutions of Three-Dimensional Fractional Differential Systems
(Articles)
Vadivel Sadhasivam
,
Jayapal Kavitha
,
Muthusamy Deepa
Applied Mathematics
Vol.8 No.2
,February 27, 2017
DOI:
10.4236/am.2017.82016
1,675
Downloads
2,717
Views
Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order
(Articles)
A. M. Kawala
Advances in Pure Mathematics
Vol.8 No.12
,December 19, 2018
DOI:
10.4236/apm.2018.812051
1,226
Downloads
2,428
Views
Citations
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
577
Downloads
2,201
Views
Citations
This article belongs to the Special Issue on
Differential Equations and Its Applications
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