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DOI
Author
Journal
Affiliation
ISSN
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The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method
(Articles)
Xiaohua Liu
Journal of Applied Mathematics and Physics
Vol.6 No.10
, October 10, 2018
DOI:
10.4236/jamp.2018.610167
1,080
Downloads
2,550
Views
Citations
Exact Solution to Nonlinear Differential Equations of Fractional Order via (
G’
/
G
)-Expansion Method
(Articles)
Muhammad Younis
,
Asim Zafar
Applied Mathematics
Vol.5 No.1
, December 25, 2013
DOI:
10.4236/am.2014.51001
9,540
Downloads
21,782
Views
Citations
An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations
(Articles)
M. M. Khader
,
A. M. S. Mahdy
,
M. M. Shehata
Applied Mathematics
Vol.5 No.15
, August 19, 2014
DOI:
10.4236/am.2014.515228
6,608
Downloads
8,382
Views
Citations
Optimality of the Evolution of the Universe, the Big Bang Model
(Articles)
Valentin V. Mdzinarishvili
Open Access Library Journal
Vol.10 No.3
, March 31, 2023
DOI:
10.4236/oalib.1109824
91
Downloads
700
Views
Citations
Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems
(Articles)
Bothayna S. Kashkari
,
Sharefah Saleh
Applied Mathematics
Vol.8 No.7
, July 4, 2017
DOI:
10.4236/am.2017.87070
1,545
Downloads
3,509
Views
Citations
Semilinear Fractional Elliptic Equation of Normal Solution
(Articles)
Tao Li
Open Access Library Journal
Vol.11 No.4
, March 29, 2024
DOI:
10.4236/oalib.1111412
71
Downloads
566
Views
Citations
Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
(Articles)
Mahmoud N. Sherif
Applied Mathematics
Vol.7 No.6
, March 24, 2016
DOI:
10.4236/am.2016.76048
3,398
Downloads
6,176
Views
Citations
Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs
(Articles)
Amr M. S. Mahdy
,
N. A. H. Mukhtar
American Journal of Computational Mathematics
Vol.7 No.4
, October 26, 2017
DOI:
10.4236/ajcm.2017.74028
1,618
Downloads
4,245
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
12,409
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
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
2,670
Downloads
4,073
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
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
3,358
Views
Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations
(Articles)
Peng Guo
Journal of Applied Mathematics and Physics
Vol.7 No.10
, October 24, 2019
DOI:
10.4236/jamp.2019.710166
1,501
Downloads
5,172
Views
Citations
A Fractional Model for the Single Stokes Pulse from the Nonlinear Optics
(Articles)
Mihai Ivan
Journal of Applied Mathematics and Physics
Vol.10 No.10
, October 9, 2022
DOI:
10.4236/jamp.2022.1010191
203
Downloads
927
Views
Citations
This article belongs to the Special Issue on
Geometry and Physics
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation
(Articles)
Hasib Uddin Molla
,
Mushfika Hossain Nova
American Journal of Computational Mathematics
Vol.8 No.2
, June 13, 2018
DOI:
10.4236/ajcm.2018.82010
1,344
Downloads
3,294
Views
Citations
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation
(Articles)
N. H. Sweilam
,
M. M. Khader
,
M. Adel
Applied Mathematics
Vol.5 No.19
, November 18, 2014
DOI:
10.4236/am.2014.519301
5,275
Downloads
7,170
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
Approximate Technique for Solving Class of Fractional Variational Problems
(Articles)
Emad M. Solouma
,
Mohamed M. Khader
Applied Mathematics
Vol.6 No.5
, May 19, 2015
DOI:
10.4236/am.2015.65078
3,951
Downloads
5,415
Views
Citations
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction-Subdiffusion Equation
(Articles)
Peng Zhu
,
Shenglan Xie
American Journal of Computational Mathematics
Vol.6 No.4
, December 21, 2016
DOI:
10.4236/ajcm.2016.64034
2,277
Downloads
4,546
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
10,307
Views
Citations
Extended Generalized Riccati Equation Mapping for Thermal Traveling-Wave Distribution in Biological Tissues through a Bio-Heat Transfer Model with Linear/Quadratic Temperature-Dependent Blood Perfusion
(Articles)
Emmanuel Kengne
,
Fathi Ben Hamouda
,
Ahmed Lakhssassi
Applied Mathematics
Vol.4 No.10
, October 29, 2013
DOI:
10.4236/am.2013.410199
5,939
Downloads
8,610
Views
Citations
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