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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
5,120
Downloads
7,694
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
6,467
Downloads
11,685
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
7,153
Downloads
15,146
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
478
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
2,156
Downloads
5,278
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
1,646
Downloads
3,862
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
2,474
Downloads
3,499
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
2,509
Downloads
3,795
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
5,142
Downloads
10,907
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
4,368
Downloads
9,216
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
3,059
Downloads
4,356
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
5,084
Downloads
8,330
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
1,130
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
5,303
Downloads
8,703
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
1,856
Downloads
3,014
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
7,931
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
2,967
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
1,222
Downloads
2,739
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
564
Downloads
2,413
Views
Citations
This article belongs to the Special Issue on
Differential Equations and Its Applications
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM)
(Articles)
Maryam Al-Mazmumy
,
Safa O. Almuhalbedi
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.4
,December 16, 2016
DOI:
10.4236/ijmnta.2016.54022
1,818
Downloads
4,041
Views
Citations
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