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Fractional Versions of the Fundamental Theorem of Calculus
(Articles)
Eliana Contharteze Grigoletto
,
Edmundo Capelas de Oliveira
Applied Mathematics
Vol.4 No.7A
,July 8, 2013
DOI:
10.4236/am.2013.47A006
9,874
Downloads
14,747
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
Fractional Calculus, Fractional Differential Equations and Applications
(Articles)
Mariam Almahdi Mohammed Mu’lla
Open Access Library Journal
Vol.7 No.6
,June 23, 2020
DOI:
10.4236/oalib.1106244
1,527
Downloads
5,886
Views
Citations
Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem
(Articles)
Samaneh Soradi Zeid
,
Mostafa Yousefi
,
Ali Vahidian Kamyad
American Journal of Computational Mathematics
Vol.6 No.2
,June 27, 2016
DOI:
10.4236/ajcm.2016.62015
2,115
Downloads
3,165
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
3,417
Downloads
4,542
Views
Citations
Study for System of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative
(Articles)
Yanping Zheng
,
Wenxia Wang
Applied Mathematics
Vol.4 No.7A
,July 5, 2013
DOI:
10.4236/am.2013.47A002
3,579
Downloads
6,013
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
1,965
Downloads
3,672
Views
Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation
(Articles)
Yiting Huang
,
Minling Zheng
Applied Mathematics
Vol.4 No.11
,November 5, 2013
DOI:
10.4236/am.2013.411202
3,825
Downloads
6,431
Views
Citations
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
1,448
Downloads
2,523
Views
Citations
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
(Articles)
Md. Abdus Salam
,
Umme Habiba
Journal of Applied Mathematics and Physics
Vol.7 No.4
,April 24, 2019
DOI:
10.4236/jamp.2019.74061
1,031
Downloads
2,401
Views
Citations
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation
(Articles)
Yufeng Sun
,
Zheng Zeng
,
Jie Song
Applied Mathematics
Vol.8 No.3
,March 24, 2017
DOI:
10.4236/am.2017.83026
2,166
Downloads
5,036
Views
Citations
Positive Solutions for Fractional Differential Equations with Multi-Point Boundary Value Problems
(Articles)
Lina Zhou
,
Weihua Jiang
Journal of Applied Mathematics and Physics
Vol.2 No.5
,April 24, 2014
DOI:
10.4236/jamp.2014.25014
4,300
Downloads
6,319
Views
Citations
Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection
(Articles)
Felix Silva Costa
,
Marta Raquel Araujo Pereira
Journal of Applied Mathematics and Physics
Vol.5 No.2
,February 24, 2017
DOI:
10.4236/jamp.2017.52041
1,391
Downloads
2,136
Views
Citations
This article belongs to the Special Issue on
Mathematical Physical Model and Method
Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions
(Articles)
Zhenghui Gao
,
Liu Yang
,
Gang Liu
Applied Mathematics
Vol.4 No.6
,June 3, 2013
DOI:
10.4236/am.2013.46118
5,843
Downloads
11,140
Views
Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order
(Articles)
A. M. Kawala
Advances in Pure Mathematics
Vol.8 No.12
,December 19, 2018
DOI:
10.4236/apm.2018.812051
1,228
Downloads
2,441
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
922
Downloads
1,825
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
96
Downloads
510
Views
Citations
Argument Estimates of Multivalent Functions Involving a Certain Fractional Derivative Operator
(Articles)
Jae Ho Choi
Advances in Pure Mathematics
Vol.5 No.2
,February 13, 2015
DOI:
10.4236/apm.2015.52011
3,813
Downloads
4,627
Views
Citations
Reconstruct the Heat Conduction Model with Memory Dependent Derivative
(Articles)
Wenwen Sun
,
Jinliang Wang
Applied Mathematics
Vol.9 No.9
,September 27, 2018
DOI:
10.4236/am.2018.99072
971
Downloads
1,864
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
3,802
Downloads
6,433
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations
(Articles)
Minjie Li
,
Yiliang Liu
Open Journal of Applied Sciences
Vol.3 No.1B1
,July 11, 2013
DOI:
10.4236/ojapps.2013.31B1011
6,324
Downloads
10,253
Views
Citations
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