Nonlinear Fractional Differential Equation - Articles

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
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
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
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
On Exact Solutions of Second Order Nonlinear Ordinary Differential Equations (Articles)

Amjed Zraiqat, Laith K. Al-Hwawcha

Applied Mathematics Vol.6 No.6, June 2, 2015

DOI: 10.4236/am.2015.66087 5,911 Downloads 10,686 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
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
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
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 312 Downloads 898 Views Citations
A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation (Articles)

A. Mareno

Journal of Applied Mathematics and Physics Vol.4 No.8, August 30, 2016

DOI: 10.4236/jamp.2016.48176 1,987 Downloads 3,305 Views Citations
Controllability of a Stochastic Neutral Functional Differential Equation Driven by a fBm (Articles)

Jingqi Han, Litan Yan

Journal of Applied Mathematics and Physics Vol.6 No.4, April 27, 2018

DOI: 10.4236/jamp.2018.64078 946 Downloads 2,199 Views Citations
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A, October 31, 2013

DOI: 10.4236/am.2013.411A1003 5,102 Downloads 7,728 Views Citations
This article belongs to the Special Issue on Functional Analysis
Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A, October 31, 2013

DOI: 10.4236/am.2013.411A1005 5,268 Downloads 8,724 Views Citations
This article belongs to the Special Issue on Functional Analysis
Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation (Articles)

Mohammed S. Mechee, Norazak Senu

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38126 6,728 Downloads 12,143 Views Citations
The Nonexistence of Global Solutions for a Time Fractional Schrödinger Equation with Nonlinear Memory (Articles)

Yaning Li, Quanguo Zhang

Journal of Applied Mathematics and Physics Vol.6 No.7, July 10, 2018

DOI: 10.4236/jamp.2018.67118 1,075 Downloads 2,020 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 632 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 4,876 Downloads 6,326 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 3,436 Downloads 6,282 Views Citations

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