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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
6,278
Downloads
11,463
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
4,617
Downloads
7,025
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
1,246
Downloads
3,603
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
746
Downloads
1,674
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
4,940
Downloads
10,634
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
4,861
Downloads
7,118
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
4,990
Downloads
7,831
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
3,597
Downloads
6,153
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
2,424
Downloads
3,422
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
910
Downloads
2,066
Views
Citations
Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations
(Articles)
Xulong Wang
,
Siying Long
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 21, 2022
DOI:
10.4236/jamp.2022.1010203
82
Downloads
518
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
535
Downloads
1,529
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
4,705
Downloads
7,101
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
1,965
Downloads
6,263
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
1,628
Downloads
4,260
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
1,947
Downloads
3,718
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
3,311
Downloads
4,485
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
3,670
Downloads
5,406
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
3,778
Downloads
6,734
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
An Iterative Method for Solving Two Special Cases of Lane-Emden Type Equation
(Articles)
Pedro Pablo Cárdenas Alzate
American Journal of Computational Mathematics
Vol.4 No.3
,June 24, 2014
DOI:
10.4236/ajcm.2014.43021
6,071
Downloads
7,581
Views
Citations
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