Partial Fractional Differential Equation - Articles

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 993 Downloads 2,103 Views Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations (Articles)

Mohamed Z. Mohamed, Tarig M. Elzaki

Applied Mathematics Vol.9 No.4，April 30, 2018

DOI: 10.4236/am.2018.94032 1,784 Downloads 4,341 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 1,045 Downloads 2,120 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 2,502 Downloads 3,633 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 141 Downloads 708 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 5,748 Downloads 9,814 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 3,396 Downloads 4,682 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 3,912 Downloads 6,837 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research
An Approach for the Construction of Systems That Self-Generate Chaotic Solitons (Articles)

Baoying Chen

Applied Mathematics Vol.3 No.7，June 19, 2012

DOI: 10.4236/am.2012.37112 5,753 Downloads 8,521 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 1,832 Downloads 2,834 Views Citations
Solving Three Dimensional and Time Depending PDEs by Haar Wavelets Method (Articles)

Abdeljalil Nachaoui, Ekhlass S. Al-Rawi, Ahmed F. Qasim

Open Access Library Journal Vol.5 No.5，May 24, 2018

DOI: 10.4236/oalib.1104496 780 Downloads 2,420 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 817 Downloads 1,763 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 4,947 Downloads 7,274 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 5,113 Downloads 8,183 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 6,508 Downloads 11,484 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 4,708 Downloads 5,819 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 3,246 Downloads 5,646 Views Citations
On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation (Articles)

Rui Li, Wei Jiang, Jiale Sheng, Sen Wang

Applied Mathematics Vol.11 No.10，October 28, 2020

DOI: 10.4236/am.2020.1110069 634 Downloads 1,706 Views Citations
Exact Traveling Wave Solutions of the Generalized Fractional Differential mBBM Equation (Articles)

Yuting Zhong, Renzhi Lu, Heng Su

Advances in Pure Mathematics Vol.13 No.3，March 17, 2023

DOI: 10.4236/apm.2023.133009 136 Downloads 547 Views Citations
Existence and Stability of Solutions for a Class of Fractional Impulsive Differential Equations with Atangana-Baleanu-Caputo Derivative (Articles)

Xuefan Lin, Weimin Hu, Youhui Su, Yongzhen Yun

Journal of Applied Mathematics and Physics Vol.11 No.12，December 26, 2023

DOI: 10.4236/jamp.2023.1112249 133 Downloads 546 Views Citations

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