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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
7,825
Downloads
11,755
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
989
Downloads
1,432
Views
Citations
This article belongs to the Special Issue on
Mathematical Physical Model and Method
Detection of Edge with the Aid of Mollification Based on Wavelets
(Articles)
Tohru Morita
,
Ken-Ichi Sato
Applied Mathematics
Vol.5 No.18
,October 30, 2014
DOI:
10.4236/am.2014.518271
2,856
Downloads
3,344
Views
Citations
This article belongs to the Special Issue on
Mathematical Modeling and Experiment
Explicit Approximation Solutions and Proof of Convergence of the Space-Time Fractional Advection Dispersion Equations
(Articles)
E. A. Abdel-Rehim
Applied Mathematics
Vol.4 No.10
,October 14, 2013
DOI:
10.4236/am.2013.410193
3,105
Downloads
4,757
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
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
182
Downloads
954
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
Fractional Weierstrass Function by Application of Jumarie Fractional Trigonometric Functions and Its Analysis
(Articles)
Uttam Ghosh
,
Susmita Sarkar
,
Shantanu Das
Advances in Pure Mathematics
Vol.5 No.12
,October 13, 2015
DOI:
10.4236/apm.2015.512065
2,515
Downloads
3,165
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
1,651
Downloads
3,051
Views
Citations
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
5,345
Downloads
9,709
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
3,596
Downloads
4,122
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
4,336
Downloads
4,802
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
1,778
Downloads
2,455
Views
Citations
Lyapunov-Type Inequalities for Conformable BVP
(Articles)
Xia Wang
,
Run Xu
Journal of Applied Mathematics and Physics
Vol.6 No.7
,July 27, 2018
DOI:
10.4236/jamp.2018.67131
426
Downloads
738
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
681
Downloads
1,145
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
95
Downloads
243
Views
Citations
Fractal and Fractional Diffusion Equations of Price Changing of Commodity
(Articles)
Tianquan Yun
Applied Mathematics
Vol.4 No.7A
,July 5, 2013
DOI:
10.4236/am.2013.47A005
3,055
Downloads
4,479
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
3,015
Downloads
4,888
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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