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Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation
(Articles)
Mohammed S. Mechee
,
Norazak Senu
Applied Mathematics
Vol.3 No.8
,August 1, 2012
DOI:
10.4236/am.2012.38126
5,458
Downloads
9,430
Views
Citations
The Zhou’s Method for Solving the White-Dwarfs Equation
(Articles)
Pedro Pablo Cárdenas Alzate
,
William Ardila Urueña
Applied Mathematics
Vol.4 No.10C
,October 8, 2013
DOI:
10.4236/am.2013.410A3005
4,228
Downloads
6,162
Views
Citations
This article belongs to the Special Issue on
Advances in Mathematical Physics
Approximate Solution of Lane-Emden Type Equations Using Variation of Parameters Method with an Auxiliary Parameter
(Articles)
Asmaa S. Khalifa
,
Hany N. Hassan
Journal of Applied Mathematics and Physics
Vol.7 No.4
,April 24, 2019
DOI:
10.4236/jamp.2019.74062
691
Downloads
1,341
Views
Citations
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm
(Articles)
Jingqi Han
,
Litan Yan
Journal of Applied Mathematics and Physics
Vol.6 No.4
,April 27, 2018
DOI:
10.4236/jamp.2018.64078
464
Downloads
935
Views
Citations
An Approximation Algorithm for the solution of astrophysics equations using rational scaled generalized Laguerre function collocation method based on transformed Hermite-Gauss nodes
(Articles)
Ali Pirkhedri
,
Parisa Daneshjoo
,
Hamid Haj Seyyed Javadi
,
Hamid Navidi
,
Salem Khodamoradi
,
Kamal Ghaderi
International Journal of Astronomy and Astrophysics
Vol.1 No.2
,June 30, 2011
DOI:
10.4236/ijaa.2011.12010
4,601
Downloads
9,922
Views
Citations
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.4 No.11A
,October 31, 2013
DOI:
10.4236/am.2013.411A1003
4,568
Downloads
6,219
Views
Citations
This article belongs to the Special Issue on
Functional Analysis
Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.4 No.11A
,October 31, 2013
DOI:
10.4236/am.2013.411A1005
4,724
Downloads
6,852
Views
Citations
This article belongs to the Special Issue on
Functional Analysis
Integral Means of Univalent Solution for Fractional Differential Equation
(Articles)
Rabha W. Ibrahim
,
Maslina Darus
Applied Mathematics
Vol.3 No.6
,June 26, 2012
DOI:
10.4236/am.2012.36091
3,382
Downloads
5,635
Views
Citations
Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term
(Articles)
Vadivel Sadhasivam
,
Jayapal Kavitha
Applied Mathematics
Vol.7 No.3
,February 29, 2016
DOI:
10.4236/am.2016.73025
2,222
Downloads
2,901
Views
Citations
Oscillation for a Class of Fractional Differential Equation
(Articles)
Qian Feng
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.7 No.7
,July 10, 2019
DOI:
10.4236/jamp.2019.77096
396
Downloads
658
Views
Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
(Articles)
Muhammad Younis
Applied Mathematics
Vol.5 No.13
,July 10, 2014
DOI:
10.4236/am.2014.513186
4,102
Downloads
5,606
Views
Citations
Supermassive Black Holes
(Articles)
Kenneth Dalton
Journal of High Energy Physics, Gravitation and Cosmology
Vol.5 No.3
,July 31, 2019
DOI:
10.4236/jhepgc.2019.53052
280
Downloads
471
Views
Citations
Applications of Fractional Calculus to Newtonian Mechanics
(Articles)
Gabriele U. Varieschi
Journal of Applied Mathematics and Physics
Vol.6 No.6
,June 21, 2018
DOI:
10.4236/jamp.2018.66105
1,114
Downloads
2,181
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
930
Downloads
1,634
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
1,631
Downloads
2,891
Views
Citations
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models
(Articles)
Toshiharu Kawasaki
,
Masashi Toyoda
Applied Mathematics
Vol.6 No.13
,November 30, 2015
DOI:
10.4236/am.2015.613192
3,063
Downloads
3,732
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
Natural Transform for Solving Fractional Models
(Articles)
Ahmed Safwat Abdel-Rady
,
Saad Zagloul Rida
,
Anas Ahmed Mohamed Arafa
,
Hamdy Ragab Abedl-Rahim
Journal of Applied Mathematics and Physics
Vol.3 No.12
,December 24, 2015
DOI:
10.4236/jamp.2015.312188
3,069
Downloads
3,764
Views
Citations
Kummer’s 24 Solutions of the Hypergeometric Differential Equation with the Aid of Fractional Calculus
(Articles)
Tohru Morita
,
Ken-ichi Sato
Advances in Pure Mathematics
Vol.6 No.3
,February 29, 2016
DOI:
10.4236/apm.2016.63015
3,168
Downloads
4,638
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
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
6,023
Downloads
10,520
Views
Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mehdi Safari
,
Mohammad Danesh
Advances in Pure Mathematics
Vol.1 No.6
,November 24, 2011
DOI:
10.4236/apm.2011.16062
6,633
Downloads
13,727
Views
Citations
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