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Journal
Affiliation
ISSN
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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
6,469
Downloads
11,689
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
7,156
Downloads
15,155
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
1,534
Downloads
7,873
Views
Citations
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
(Articles)
M. Nurul Islam
,
M. Ali Akbar
Journal of Applied Mathematics and Physics
Vol.6 No.1
,January 11, 2018
DOI:
10.4236/jamp.2018.61009
1,061
Downloads
2,342
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
2,477
Downloads
3,504
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus
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
4,602
Downloads
5,603
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
3,139
Downloads
5,587
Views
Citations
On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation
(Articles)
Rui Li
,
Wei Jiang
,
Jiale Sheng
,
Sen Wang
Applied Mathematics
Vol.11 No.10
,October 28, 2020
DOI:
10.4236/am.2020.1110069
520
Downloads
1,606
Views
Citations
Exact Traveling Wave Solutions of the Generalized Fractional Differential mBBM Equation
(Articles)
Yuting Zhong
,
Renzhi Lu
,
Heng Su
Advances in Pure Mathematics
Vol.13 No.3
,March 17, 2023
DOI:
10.4236/apm.2023.133009
78
Downloads
373
Views
Citations
Existence and Stability of Solutions for a Class of Fractional Impulsive Differential Equations with Atangana-Baleanu-Caputo Derivative
(Articles)
Xuefan Lin
,
Weimin Hu
,
Youhui Su
,
Yongzhen Yun
Journal of Applied Mathematics and Physics
Vol.11 No.12
,December 26, 2023
DOI:
10.4236/jamp.2023.1112249
68
Downloads
292
Views
Citations
A Comparison of Different Numerical Schemes to Solve Nonlinear First Order ODE
(Articles)
Mahjoub A. Elamin
,
Sami H. Altoum
Journal of Applied Mathematics and Physics
Vol.10 No.3
,March 22, 2022
DOI:
10.4236/jamp.2022.103059
126
Downloads
931
Views
Citations
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
1,084
Downloads
2,593
Views
Citations
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
3,408
Downloads
4,757
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
130
Downloads
678
Views
Citations
Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform
(Articles)
Tohru Morita
,
Ken-ichi Sato
Applied Mathematics
Vol.5 No.8
,May 8, 2014
DOI:
10.4236/am.2014.58115
4,794
Downloads
6,689
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
5,000
Downloads
6,563
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
The Exact Solution of the Space-Time Fractional Modified Kdv-Zakharov-Kuznetsov Equation
(Articles)
Qiuyan Jin
,
Tiecheng Xia
,
Jinbo Wang
Journal of Applied Mathematics and Physics
Vol.5 No.4
,April 28, 2017
DOI:
10.4236/jamp.2017.54074
1,445
Downloads
2,558
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
7,342
Downloads
21,036
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
6,076
Downloads
7,231
Views
Citations
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation
(Articles)
Kelei Zhang
,
Zhenfeng Zhang
,
Tao Yuwen
Advances in Pure Mathematics
Vol.12 No.7
,July 28, 2022
DOI:
10.4236/apm.2022.127035
133
Downloads
612
Views
Citations
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