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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
5,318
Downloads
8,619
Views
Citations
Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method
(Articles)
Orkun Tasbozan
,
Alaattin Esen
,
Nuri Murat Yagmurlu
Open Journal of Applied Sciences
Vol.2 No.3
,September 28, 2012
DOI:
10.4236/ojapps.2012.23029
7,353
Downloads
20,799
Views
Citations
First Integral Method: A General Formula for Nonlinear Fractional Klein-Gordon Equation Using Advanced Computing Language
(Articles)
Mohamed A. Abdoon
American Journal of Computational Mathematics
Vol.5 No.2
,June 10, 2015
DOI:
10.4236/ajcm.2015.52011
6,088
Downloads
7,059
Views
Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations
(Articles)
Mohamed Z. Mohamed
,
Tarig M. Elzaki
Applied Mathematics
Vol.9 No.4
,April 30, 2018
DOI:
10.4236/am.2018.94032
1,658
Downloads
3,909
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
591
Downloads
2,251
Views
Citations
This article belongs to the Special Issue on
Differential Equations and Its Applications
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
409
Downloads
1,028
Views
Citations
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation
(Articles)
Kelei Zhang
,
Zhenfeng Zhang
,
Tao Yuwen
Advances in Pure Mathematics
Vol.12 No.7
,July 28, 2022
DOI:
10.4236/apm.2022.127035
139
Downloads
568
Views
Citations
The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation
(Articles)
Mohamed Elbadri
Applied Mathematics
Vol.14 No.3
,March 31, 2023
DOI:
10.4236/am.2023.143014
150
Downloads
796
Views
Citations
Existence of Solutions for Fractional Klein-Gordon-Maxwell Systems
(Articles)
Tao Li
Open Access Library Journal
Vol.10 No.4
,April 12, 2023
DOI:
10.4236/oalib.1110024
45
Downloads
331
Views
Citations
Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple
(Articles)
Fayza Alwehebi
,
Aatef Hobiny
,
Dalal Maturi
Applied Mathematics
Vol.14 No.5
,May 31, 2023
DOI:
10.4236/am.2023.145020
114
Downloads
559
Views
Citations
Variational Iteration Method for Solving Time Fractional Burgers Equation Using Maple
(Articles)
Fayza Alwehebi
,
Aatef Hobiny
,
Dalal Maturi
Applied Mathematics
Vol.14 No.5
,May 31, 2023
DOI:
10.4236/am.2023.145021
139
Downloads
654
Views
Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation
(Articles)
Yiting Huang
,
Minling Zheng
Applied Mathematics
Vol.4 No.11
,November 5, 2013
DOI:
10.4236/am.2013.411202
3,825
Downloads
6,434
Views
Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
(Articles)
Taher A. Nofal
,
Gamal M. Ismail
,
Sayed Abdel-Khalek
Journal of Modern Physics
Vol.4 No.11
,November 22, 2013
DOI:
10.4236/jmp.2013.411179
3,971
Downloads
5,738
Views
Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders
(Articles)
Fatheah Alhendi
,
Wafa Shammakh
,
Hind Al-Badrani
Open Journal of Applied Sciences
Vol.7 No.4
,April 30, 2017
DOI:
10.4236/ojapps.2017.74014
1,755
Downloads
3,566
Views
Citations
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs
(Articles)
Mohamed Adel
,
Mohamed M. Khader
Applied Mathematics
Vol.8 No.12
,December 14, 2017
DOI:
10.4236/am.2017.812126
857
Downloads
1,841
Views
Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials
(Articles)
Mushfika Hossain Nova
,
Hasib Uddin Molla
,
Sajeda Banu
American Journal of Computational Mathematics
Vol.7 No.4
,December 15, 2017
DOI:
10.4236/ajcm.2017.74034
970
Downloads
1,884
Views
Citations
Applying the Barycentric Jacobi Spectral Method to Price Options with Transaction Costs in a Fractional Black-Scholes Framework
(Articles)
B. F. Nteumagné
,
E. Pindza
,
E. Maré
Journal of Mathematical Finance
Vol.4 No.1
,January 21, 2014
DOI:
10.4236/jmf.2014.41004
6,515
Downloads
8,879
Views
Citations
This article belongs to the Special Issue on
Option Pricing Research
Convergent Validity of a Physical Activity Questionnaire against Objectively Measured Physical Activity in Adults: The Cardiovascular Risk in Young Finns Study
(Articles)
Mirja Hirvensalo
,
Costan G. Magnussen
,
Xiaolin Yang
,
Risto Telama
,
Ilkka Heinonen
,
Nina Hutri-Kähönen
,
Kasper Salin
,
Jorma Viikari
,
Olli T. Raitakari
,
Tuija H. Tammelin
Advances in Physical Education
Vol.7 No.4
,November 22, 2017
DOI:
10.4236/ape.2017.74038
1,337
Downloads
2,511
Views
Citations
Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations
(Articles)
Ning Chen
,
Jiqian Chen
Applied Mathematics
Vol.3 No.12
,December 17, 2012
DOI:
10.4236/am.2012.312263
8,072
Downloads
10,871
Views
Citations
Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method
(Articles)
Yin Yang
Applied Mathematics
Vol.4 No.1
,January 28, 2013
DOI:
10.4236/am.2013.41020
8,093
Downloads
12,535
Views
Citations
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