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 286 Downloads 1,221 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 5,636 Downloads 10,108 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 2,306 Downloads 4,655 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 124 Downloads 630 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 6,964 Downloads 11,560 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 108 Downloads 518 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 1,691 Downloads 3,246 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 2,521 Downloads 7,738 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 9,588 Downloads 21,878 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 1,322 Downloads 3,070 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 1,121 Downloads 2,693 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 2,683 Downloads 4,076 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 1,168 Downloads 2,719 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 241 Downloads 1,183 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 3,533 Downloads 5,241 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 3,557 Downloads 5,182 Views Citations
This article belongs to the Special Issue on Fractional Calculus
The Oscillation of a Class of Fractional Impulsive Partial Differential Equations (Articles)

Li Fan, Anping Liu

Journal of Applied Mathematics and Physics Vol.13 No.9, September 26, 2025

DOI: 10.4236/jamp.2025.139177 99 Downloads 411 Views Citations
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 2,727 Downloads 5,911 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 5,429 Downloads 8,408 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 4,162 Downloads 7,850 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research

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