Fractional Differential Equations - Articles - Scientific Research Publishing

The Utilization of the Generating Function Technique in the Discovery of Solutions for the Three-Dimensional Navier-Stokes Equation System (Articles)

Robert Lloyd Jackson

Open Journal of Fluid Dynamics Vol.12 No.1，March 16, 2022

DOI: 10.4236/ojfd.2022.121005 194 Downloads 834 Views Citations
A Tutorial on Common Differential Equations and Solutions Useful for Modeling Epidemics Like COVID-19: Linear and Non-Linear Compartmentation Models (Articles)

Robert V. Mulkern, Reyhaneh Nosrati

Journal of Applied Mathematics and Physics Vol.10 No.10，October 24, 2022

DOI: 10.4236/jamp.2022.1010204 176 Downloads 1,017 Views Citations
Analytical Proof of the Solution to Second Order Linear Homogeneous Differential Equation (Articles)

Godwin Eni Inah

Open Access Library Journal Vol.10 No.1，January 16, 2023

DOI: 10.4236/oalib.1109537 92 Downloads 1,214 Views Citations
A Filtered Milne-Simpson ODE Method with Enhanced Stability Properties (Articles)

Ari Aluthge, Scott A. Sarra

Journal of Applied Mathematics and Physics Vol.11 No.1，January 31, 2023

DOI: 10.4236/jamp.2023.111013 143 Downloads 1,647 Views Citations
Bifurcation Analysis of a Nonlinear Genetic Network Model with Time Delay (Articles)

Anael Verdugo

Journal of Applied Mathematics and Physics Vol.11 No.8，August 18, 2023

DOI: 10.4236/jamp.2023.118146 125 Downloads 457 Views Citations
Business Ecosystems and Differential Equations: Computer Simulations of Competition and Competitiveness Scenarios (Articles)

Júlia A. Kudo, Raphael de O. Garcia, Graciele P. Silveira

Open Journal of Business and Management Vol.13 No.1，January 31, 2025

DOI: 10.4236/ojbm.2025.131036 114 Downloads 362 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 5,820 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
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
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 138 Downloads 549 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 549 Views Citations
Integral Means of Univalent Solution for Fractional Differential Equation (Articles)

Rabha W. Ibrahim, Maslina Darus

Applied Mathematics Vol.3 No.6，June 26, 2012

DOI: 10.4236/am.2012.36091 3,688 Downloads 6,336 Views Citations
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 11,485 Views Citations
Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications (Articles)

Zhimin Zhao, Run Xu

Journal of Applied Mathematics and Physics Vol.3 No.5，May 11, 2015

DOI: 10.4236/jamp.2015.35059 3,500 Downloads 4,750 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 2,080 Downloads 3,934 Views Citations
Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative (Articles)

Ann Al Sawoor, Miloud Sadkane

Applied Mathematics Vol.11 No.12，December 9, 2020

DOI: 10.4236/am.2020.1112084 436 Downloads 1,361 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
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 62 Downloads 241 Views Citations
Solution of Some Integral Equations Involving Confluent k-Hypergeometric Functions (Articles)

Shahid Mubeen

Applied Mathematics Vol.4 No.7A，July 5, 2013

DOI: 10.4236/am.2013.47A003 4,308 Downloads 7,002 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
Existence and Multiple of Positive Solution for Nonlinear Fractional Difference Equations with Parameter (Articles)

Youji Xu

Journal of Applied Mathematics and Physics Vol.3 No.7，June 30, 2015

DOI: 10.4236/jamp.2015.37091 3,909 Downloads 4,776 Views Citations

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