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ISSN
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Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method
(Articles)
Yin Yang
Applied Mathematics
Vol.4 No.1
,January 28, 2013
DOI:
10.4236/am.2013.41020
8,052
Downloads
13,280
Views
Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders
(Articles)
Fatheah Alhendi
,
Wafa Shammakh
,
Hind Al-Badrani
Open Journal of Applied Sciences
Vol.7 No.4
,April 30, 2017
DOI:
10.4236/ojapps.2017.74014
1,747
Downloads
3,605
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
1,168
Downloads
2,501
Views
Citations
Nonnegative Solutions for a Riemann-Liouville Fractional Boundary Value Problem
(Articles)
Rodica Luca
,
Alexandru Tudorache
Open Journal of Applied Sciences
Vol.9 No.10
,October 17, 2019
DOI:
10.4236/ojapps.2019.910061
706
Downloads
1,739
Views
Citations
A Fractional Order Model for the Transmission Dynamics of Measles with Vaccination
(Articles)
Nnaemeka S. Aguegboh
,
Nkem R. Nwokoye
,
Netochukwu E. Onyiaji
,
Ogechi R. Amanso
,
Dominic O. Oranugo
Open Access Library Journal
Vol.7 No.10
,October 15, 2020
DOI:
10.4236/oalib.1106670
281
Downloads
1,285
Views
Citations
Analytical Solution of Nonlinear System of Fractional Differential Equations
(Articles)
Eman Ali Ahmed Ziada
Journal of Applied Mathematics and Physics
Vol.9 No.10
,October 28, 2021
DOI:
10.4236/jamp.2021.910164
309
Downloads
1,484
Views
Citations
This article belongs to the Special Issue on
Nonlinear Differential Equations
Fractional Stochastic Volatility Pricing of European Option Based on Self-Adaptive Differential Evolution
(Articles)
Yue Hu
,
Hongling Dong
,
Le Fu
,
Jiayang Zhai
Journal of Mathematical Finance
Vol.12 No.3
,August 25, 2022
DOI:
10.4236/jmf.2022.123029
185
Downloads
1,008
Views
Citations
Existence Results for Systems of Nonlinear Caputo Fractional Differential Equations
(Articles)
Faten Toumi
Applied Mathematics
Vol.14 No.3
,March 22, 2023
DOI:
10.4236/am.2023.143011
113
Downloads
572
Views
Citations
Revisiting the Curie-Von Schweidler Law for Dielectric Relaxation and Derivation of Distribution Function for Relaxation Rates as Zipf’s Power Law and Manifestation of Fractional Differential Equation for Capacitor
(Articles)
Shantanu Das
Journal of Modern Physics
Vol.8 No.12
,November 27, 2017
DOI:
10.4236/jmp.2017.812120
1,100
Downloads
2,757
Views
Citations
Exact Solution to Nonlinear Differential Equations of Fractional Order via (
G’
/
G
)-Expansion Method
(Articles)
Muhammad Younis
,
Asim Zafar
Applied Mathematics
Vol.5 No.1
,December 25, 2013
DOI:
10.4236/am.2014.51001
9,101
Downloads
21,064
Views
Citations
On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions
(Articles)
A. Adiloglu Nabiev
Applied Mathematics
Vol.7 No.18
,December 28, 2016
DOI:
10.4236/am.2016.718190
1,654
Downloads
3,113
Views
Citations
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method
(Articles)
M. Nurul Islam
,
M. Ali Akbar
Journal of Applied Mathematics and Physics
Vol.6 No.1
,January 11, 2018
DOI:
10.4236/jamp.2018.61009
1,058
Downloads
2,332
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
959
Downloads
2,029
Views
Citations
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
6,456
Downloads
11,670
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
7,150
Downloads
15,135
Views
Citations
Discretization of Fractional Order Differentiator and Integrator with Different Fractional Orders
(Articles)
Qi Zhang
,
Baoye Song
,
Huadong Zhao
,
Jiansheng Zhang
Intelligent Control and Automation
Vol.8 No.2
,May 10, 2017
DOI:
10.4236/ica.2017.82006
1,544
Downloads
2,880
Views
Citations
Electromagnetic Interpretation of Fractional-Order Elements
(Articles)
Guishu Liang
,
Jiawei Hao
,
Dongqing Shan
Journal of Modern Physics
Vol.8 No.14
,December 21, 2017
DOI:
10.4236/jmp.2017.814136
979
Downloads
1,954
Views
Citations
Ground State Solutions for p-Fractional Choquard-Kirchhoff Equations Involving Electromagnetic Fields and Critical Nonlinearity
(Articles)
Xueqian Yan
Open Access Library Journal
Vol.9 No.6
,June 15, 2022
DOI:
10.4236/oalib.1108837
70
Downloads
474
Views
Citations
Is the Driving Force of a Continuous Process a Brownian Motion or Fractional Brownian Motion?
(Articles)
Xinbing Kong
,
Bingyi Jing
,
Cuixia Li
Journal of Mathematical Finance
Vol.3 No.4
,November 15, 2013
DOI:
10.4236/jmf.2013.34048
3,067
Downloads
5,501
Views
Citations
Dynamics and Synchronization of Memristor-Based Fractional-Order System
(Articles)
Hongmin Deng
,
Qionghua Wang
Int'l J. of Modern Nonlinear Theory and Application
Vol.2 No.4
,December 2, 2013
DOI:
10.4236/ijmnta.2013.24031
4,851
Downloads
8,865
Views
Citations
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