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Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative
(Articles)
Ann Al Sawoor
,
Miloud Sadkane
Applied Mathematics
Vol.11 No.12
,December 9, 2020
DOI:
10.4236/am.2020.1112084
386
Downloads
1,227
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
Local Discontinuous Galerkin Method for the Time-Fractional KdV Equation with the Caputo-Fabrizio Fractional Derivative
(Articles)
Huanhuan Wang
,
Xiaoyan Xu
,
Junmei Dou
,
Ting Zhang
,
Leilei Wei
Journal of Applied Mathematics and Physics
Vol.10 No.6
,June 24, 2022
DOI:
10.4236/jamp.2022.106132
166
Downloads
767
Views
Citations
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
10,101
Downloads
15,271
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
946
Downloads
1,971
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
116
Downloads
611
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
1,675
Downloads
6,602
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
3,841
Downloads
6,628
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
6,537
Downloads
11,727
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
7,216
Downloads
15,057
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
2,958
Downloads
4,168
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
2,212
Downloads
5,216
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
5,899
Downloads
11,352
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
3,842
Downloads
4,754
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
4,649
Downloads
5,699
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
2,138
Downloads
3,280
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
1,413
Downloads
2,241
Views
Citations
This article belongs to the Special Issue on
Mathematical Physical Model and Method
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
718
Downloads
1,360
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
1,266
Downloads
2,610
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
582
Downloads
1,601
Views
Citations
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with
L
1
-Data
(Articles)
Safimba Soma
,
Mohamed Bance
Journal of Applied Mathematics and Physics
Vol.11 No.12
,December 29, 2023
DOI:
10.4236/jamp.2023.1112261
120
Downloads
420
Views
Citations
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