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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
861
Downloads
1,931
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
9,120
Downloads
21,107
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
6,207
Downloads
7,887
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
30
Downloads
184
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
1,386
Downloads
2,893
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
15
Downloads
83
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
3,148
Downloads
5,616
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
6,474
Downloads
11,701
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
15,169
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
1,422
Downloads
3,573
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
2,480
Downloads
3,516
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
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.3
,September 27, 2016
DOI:
10.4236/ijmnta.2016.53013
1,581
Downloads
2,721
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
1,052
Downloads
3,817
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
72
Downloads
359
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
1,088
Downloads
2,609
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
5,005
Downloads
6,583
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
3,736
Downloads
4,828
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
1,958
Downloads
3,750
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
1,554
Downloads
7,973
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
5,483
Downloads
8,183
Views
Citations
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