Nonlinear Fractional Differential System - Articles

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 159 Downloads 726 Views Citations
Control Chaos in System with Fractional Order (Articles)

Yamin Wang, Xiaozhou Yin, Yong Liu

Journal of Modern Physics Vol.3 No.6，June 25, 2012

DOI: 10.4236/jmp.2012.36067 5,387 Downloads 9,411 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 2,041 Downloads 3,849 Views Citations
Multiple Solutions for a Class of Singular Boundary Value Problems of Hadamard Fractional Differential Systems with p-Laplacian Operator (Articles)

Chen Wang, Yansheng Liu

Journal of Applied Mathematics and Physics Vol.12 No.9，September 20, 2024

DOI: 10.4236/jamp.2024.129187 49 Downloads 187 Views Citations
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 6,445 Downloads 10,539 Views Citations
Legendre-Weighted Residual Methods for System of Fractional Order Differential Equations (Articles)

Umme Ruman, Md. Shafiqul Islam

Journal of Applied Mathematics and Physics Vol.12 No.9，September 27, 2024

DOI: 10.4236/jamp.2024.129190 40 Downloads 150 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 1,487 Downloads 2,681 Views Citations
Applications of Fractional Calculus to Newtonian Mechanics (Articles)

Gabriele U. Varieschi

Journal of Applied Mathematics and Physics Vol.6 No.6，June 21, 2018

DOI: 10.4236/jamp.2018.66105 2,120 Downloads 6,399 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 9,222 Downloads 21,022 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 1,119 Downloads 2,440 Views Citations
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs (Articles)

Mohamed Adel, Mohamed M. Khader

Applied Mathematics Vol.8 No.12，December 14, 2017

DOI: 10.4236/am.2017.812126 893 Downloads 2,018 Views Citations
Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term (Articles)

Vadivel Sadhasivam, Jayapal Kavitha

Applied Mathematics Vol.7 No.3，February 29, 2016

DOI: 10.4236/am.2016.73025 2,473 Downloads 3,559 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 964 Downloads 2,011 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 130 Downloads 645 Views Citations
Application of Trial Equation Method for Solving the Getmanou Equation (Articles)

Li Yang

Applied Mathematics Vol.5 No.10，June 3, 2014

DOI: 10.4236/am.2014.510139 3,342 Downloads 4,681 Views Citations
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models (Articles)

Toshiharu Kawasaki, Masashi Toyoda

Applied Mathematics Vol.6 No.13，November 30, 2015

DOI: 10.4236/am.2015.613192 3,360 Downloads 4,594 Views Citations
This article belongs to the Special Issue on Fractional Calculus
History of Krylov-Bogoliubov-Mitropolsky Methods of Nonlinear Oscillations (Articles)

Agamenon R. E. Oliveira

Advances in Historical Studies Vol.6 No.1，March 21, 2017

DOI: 10.4236/ahs.2017.61003 2,434 Downloads 4,704 Views Citations
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with L¹ -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 127 Downloads 415 Views Citations
Existence and Uniqueness of Solution to Two-Point Boundary Value for Two-Sided Fractional Differential Equations (Articles)

Ailing Shi, Yu Bai

Applied Mathematics Vol.4 No.6，June 14, 2013

DOI: 10.4236/am.2013.46127 5,183 Downloads 7,720 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 3,863 Downloads 6,678 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research

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