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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
3,772
Downloads
6,710
Views
Citations
This article belongs to the Special Issue on
Fractional Differential, Integral and Integro-Differential Equations Research
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
1,505
Downloads
7,678
Views
Citations
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
328
Downloads
1,134
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and Its Application
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
4,696
Downloads
7,081
Views
Citations
Brownian Motion & the Stochastic Behavior of Stocks
(Articles)
Pantelis Tassopoulos
,
Yorgos Protonotarios
Journal of Mathematical Finance
Vol.12 No.1
,February 15, 2022
DOI:
10.4236/jmf.2022.121009
230
Downloads
1,785
Views
Citations
Existence of Positive Solutions to Semipositone Fractional Differential Equations
(Articles)
Xinsheng Du
Applied Mathematics
Vol.7 No.14
,August 17, 2016
DOI:
10.4236/am.2016.714127
1,849
Downloads
2,996
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
7,316
Downloads
20,991
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
6,141
Downloads
13,978
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
130
Downloads
596
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
67
Downloads
252
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
4,597
Downloads
5,585
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
3,128
Downloads
5,560
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
1,623
Downloads
4,237
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
507
Downloads
1,563
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
63
Downloads
251
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
1,943
Downloads
3,709
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
123
Downloads
654
Views
Citations
Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations
(Articles)
Xingyue Jian
Journal of Applied Mathematics and Physics
Vol.7 No.1
,January 29, 2019
DOI:
10.4236/jamp.2019.71019
1,160
Downloads
2,476
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
1,438
Downloads
2,539
Views
Citations
On Starlike Functions Using the Generalized Salagean Differential Operator
(Articles)
Saliu Afis
,
Mashood Sidiq
Open Access Library Journal
Vol.3 No.9
,September 14, 2016
DOI:
10.4236/oalib.1102895
1,077
Downloads
2,184
Views
Citations
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