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A New Technique for Solving Fractional Order Systems: Hermite Collocation Method
(Articles)
Nilay Akgonullu Pirim
,
Fatma Ayaz
Applied Mathematics
Vol.7 No.18
,December 12, 2016
DOI:
10.4236/am.2016.718182
6,279
Downloads
7,783
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus and its Application
Existence of Solutions of Three-Dimensional Fractional Differential Systems
(Articles)
Vadivel Sadhasivam
,
Jayapal Kavitha
,
Muthusamy Deepa
Applied Mathematics
Vol.8 No.2
,February 27, 2017
DOI:
10.4236/am.2017.82016
1,681
Downloads
2,734
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
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator
(Articles)
Taher A. Nofal
,
Gamal M. Ismail
,
Sayed Abdel-Khalek
Journal of Modern Physics
Vol.4 No.11
,November 22, 2013
DOI:
10.4236/jmp.2013.411179
3,971
Downloads
5,735
Views
Citations
Concentration Wave for a Class of Reaction Chromatography System with Pulse Injections
(Articles)
Jing Zhang
,
Maofei Shao
,
Tao Pan
American Journal of Computational Mathematics
Vol.6 No.3
,September 6, 2016
DOI:
10.4236/ajcm.2016.63023
1,425
Downloads
2,019
Views
Citations
Stability of a Delayed SIQRS Model with Temporary Immunity
(Articles)
Laid Chahrazed
,
Rahmani Fouad Lazhar
Advances in Pure Mathematics
Vol.3 No.2
,March 5, 2013
DOI:
10.4236/apm.2013.32034
4,652
Downloads
8,403
Views
Citations
New Solutions to Nonlinear Ordinary Differential Equations
(Articles)
Moawia Alghalith
Advances in Pure Mathematics
Vol.1 No.1
,January 29, 2011
DOI:
10.4236/apm.2011.11002
7,360
Downloads
21,811
Views
Citations
New Implementation of Legendre Polynomials for Solving Partial Differential Equations
(Articles)
Ali Davari
,
Abozar Ahmadi
Applied Mathematics
Vol.4 No.12
,December 3, 2013
DOI:
10.4236/am.2013.412224
5,549
Downloads
8,804
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
6,012
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
6,323
Downloads
10,250
Views
Citations
The Exact Solutions of Such Coupled Linear Matrix Fractional Differential Equations of Diagonal Unknown Matrices by Using Hadamard Product
(Articles)
Zayed Al-Zuhiri
,
Zeyad Al-Zhour
,
Khaled Jaber
Journal of Applied Mathematics and Physics
Vol.4 No.2
,February 29, 2016
DOI:
10.4236/jamp.2016.42049
2,286
Downloads
3,437
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
140
Downloads
643
Views
Citations
Mixture of a New Integral Transform and Homotopy Perturbation Method for Solving Nonlinear Partial Differential Equations
(Articles)
Artion Kashuri
,
Akli Fundo
,
Matilda Kreku
Advances in Pure Mathematics
Vol.3 No.3
,May 8, 2013
DOI:
10.4236/apm.2013.33045
5,395
Downloads
10,520
Views
Citations
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator
(Articles)
T. A. Nofel
Applied Mathematics
Vol.5 No.6
,April 2, 2014
DOI:
10.4236/am.2014.56081
7,924
Downloads
10,218
Views
Citations
Solving high-order nonlinear Volterra-Fredholm integro-differential equations by differential transform method
(Articles)
Salah H. Behiry
,
Saied I. Mohamed
Natural Science
Vol.4 No.8
,August 29, 2012
DOI:
10.4236/ns.2012.48077
7,426
Downloads
13,407
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
1,965
Downloads
3,672
Views
Citations
A Tutorial on Common Differential Equations and Solutions Useful for Modeling Epidemics Like COVID-19: Linear and Non-Linear Compartmentation Models
(Articles)
Robert V. Mulkern
,
Reyhaneh Nosrati
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 24, 2022
DOI:
10.4236/jamp.2022.1010204
119
Downloads
668
Views
Citations
Bifurcation Analysis of a Nonlinear Genetic Network Model with Time Delay
(Articles)
Anael Verdugo
Journal of Applied Mathematics and Physics
Vol.11 No.8
,August 18, 2023
DOI:
10.4236/jamp.2023.118146
63
Downloads
228
Views
Citations
Analytical solution of the concentration and current in the electoenzymatic processes involved in a PPO-rotating-disk-bioelectrode
(Articles)
Govindhan. Varadharajan
,
Lakshmanan. Rajendran
Natural Science
Vol.3 No.1
,January 29, 2011
DOI:
10.4236/ns.2011.31001
4,868
Downloads
10,029
Views
Citations
Numerical Solution of Model of Cancer Invasion with Tissue
(Articles)
Farhad Hatami
,
Mohammad Bagher Ghaemi
Applied Mathematics
Vol.4 No.7
,July 11, 2013
DOI:
10.4236/am.2013.47143
4,333
Downloads
7,186
Views
Citations
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