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On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
(Articles)
R. F. Al-Bar
Applied Mathematics
Vol.6 No.12
,November 26, 2015
DOI:
10.4236/am.2015.612184
3,065
Downloads
4,277
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
750
Downloads
1,585
Views
Citations
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
6,339
Downloads
11,099
Views
Citations
RETRACTED:
The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
(Articles)
Mahmoud A. E. Abdelrahman
,
Magdi Hakeem Armanious
,
Emad H. M. Zahran
,
Mostafa M. A. Khater
American Journal of Computational Mathematics
Vol.5 No.1
,March 12, 2015
DOI:
10.4236/ajcm.2015.51001
4,645
Downloads
8,630
Views
Citations
Comparing the Time-Deformation Method with the Fractional Fourier Transform in Filtering Non-Stationary Processes
(Articles)
Mengyuan Xu
,
Wayne A. Woodward
,
Henry L. Gray
Journal of Signal and Information Processing
Vol.3 No.4
,November 29, 2012
DOI:
10.4236/jsip.2012.34062
4,874
Downloads
6,716
Views
Citations
High Accuracy Arithmetic Average Discretization for Non-Linear Two Point Boundary Value Problems with a Source Function in Integral Form
(Articles)
Ranjan K. Mohanty
,
Deepika Dhall
Applied Mathematics
Vol.2 No.10
,October 11, 2011
DOI:
10.4236/am.2011.210173
4,219
Downloads
7,079
Views
Citations
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
3,607
Downloads
6,130
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
4,724
Downloads
6,834
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
5,017
Downloads
6,387
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
(Articles)
Zhimin Zhao
,
Run Xu
Journal of Applied Mathematics and Physics
Vol.3 No.5
,May 11, 2015
DOI:
10.4236/jamp.2015.35059
3,417
Downloads
4,545
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
1,966
Downloads
3,677
Views
Citations
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations
(Articles)
Thilagarajah Mathanaranjan
,
Dayalini Vijayakumar
Journal of Applied Mathematics and Physics
Vol.9 No.2
,February 25, 2021
DOI:
10.4236/jamp.2021.92019
429
Downloads
1,143
Views
Citations
Multiple Solutions for a Class of Variable-Order Fractional Laplacian Equations with Concave-Convex Nonlinearity
(Articles)
Canlin Gan
,
Ting Xiao
,
Qiongfen Zhang
Journal of Applied Mathematics and Physics
Vol.10 No.3
,March 22, 2022
DOI:
10.4236/jamp.2022.103057
96
Downloads
442
Views
Citations
Computational Analysis for Solving the Linear Space-Fractional Telegraph Equation
(Articles)
Zaki Mrzog Alaofi
,
Talaat Sayed El-Danaf
,
Adel Hadhoud
,
Silvestru Sever Dragomir
Open Journal of Modelling and Simulation
Vol.10 No.3
,June 9, 2022
DOI:
10.4236/ojmsi.2022.103014
141
Downloads
646
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
7,355
Downloads
20,808
Views
Citations
Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional
q
-Difference Equation
(Articles)
Liu Yang
Applied Mathematics
Vol.4 No.10
,October 14, 2013
DOI:
10.4236/am.2013.410195
6,160
Downloads
13,966
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
7,062
Views
Citations
Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces
(Articles)
Xiaoping Xu
,
Guangxian Wu
,
Qixiang Dong
Advances in Pure Mathematics
Vol.5 No.14
,December 7, 2015
DOI:
10.4236/apm.2015.514075
4,605
Downloads
5,537
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
3,157
Downloads
5,329
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
1,659
Downloads
3,914
Views
Citations
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