Differential Fractional Algebra - Articles - Scientific Research Publishing

A New Technique for Solving Fractional Order Systems: Hermite Collocation Method (Articles)

Nilay Akgonullu Pirim, Fatma Ayaz

Applied Mathematics Vol.7 No.18，December 12, 2016

DOI: 10.4236/am.2016.718182 6,394 Downloads 8,112 Views Citations
This article belongs to the Special Issue on Fractional Calculus and its Application
Existence of Solutions of Three-Dimensional Fractional Differential Systems (Articles)

Vadivel Sadhasivam, Jayapal Kavitha, Muthusamy Deepa

Applied Mathematics Vol.8 No.2，February 27, 2017

DOI: 10.4236/am.2017.82016 1,775 Downloads 2,983 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 1,783 Downloads 4,336 Views Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order (Articles)

A. M. Kawala

Advances in Pure Mathematics Vol.8 No.12，December 19, 2018

DOI: 10.4236/apm.2018.812051 1,314 Downloads 2,732 Views Citations
Finite Element Approach for the Solution of First-Order Differential Equations (Articles)

André Schmidt, Horst R. Beyer, Matthias Hinze, Evangelos N. Vandoros

Journal of Applied Mathematics and Physics Vol.8 No.10，October 15, 2020

DOI: 10.4236/jamp.2020.810155 737 Downloads 2,780 Views Citations
This article belongs to the Special Issue on Differential Equations and Its Applications
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 633 Downloads 1,701 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 546 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 132 Downloads 540 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 6,335 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 6,507 Downloads 11,482 Views Citations
Study for System of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative (Articles)

Yanping Zheng, Wenxia Wang

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

DOI: 10.4236/am.2013.47A002 3,706 Downloads 6,323 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 6,542 Downloads 10,695 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 4,749 Views Citations
The Exact Solutions of Such Coupled Linear Matrix Fractional Differential Equations of Diagonal Unknown Matrices by Using Hadamard Product (Articles)

Zayed Al-Zuhiri, Zeyad Al-Zhour, Khaled Jaber

Journal of Applied Mathematics and Physics Vol.4 No.2，February 29, 2016

DOI: 10.4236/jamp.2016.42049 2,342 Downloads 3,646 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 2,079 Downloads 3,929 Views Citations
Numerical Solution of Fractional Differential Equations (Articles)

Adnan Daraghmeh, Naji Qatanani, Aya Saadeh

Applied Mathematics Vol.11 No.11，November 13, 2020

DOI: 10.4236/am.2020.1111074 2,023 Downloads 9,038 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 1,357 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
Computational Analysis for Solving the Linear Space-Fractional Telegraph Equation (Articles)

Zaki Mrzog Alaofi, Talaat Sayed El-Danaf, Adel Hadhoud, Silvestru Sever Dragomir

Open Journal of Modelling and Simulation Vol.10 No.3，June 9, 2022

DOI: 10.4236/ojmsi.2022.103014 204 Downloads 856 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 58 Downloads 237 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 47 Downloads 215 Views Citations

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