Fractional Differential Equations - Articles - Scientific Research Publishing

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 2,518 Downloads 7,723 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 5,424 Downloads 8,401 Views Citations
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation (Articles)

Yufeng Sun, Zheng Zeng, Jie Song

Applied Mathematics Vol.8 No.3, March 24, 2017

DOI: 10.4236/am.2017.83026 2,501 Downloads 6,314 Views Citations
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order (Articles)

Anwar Zeb, M. Ikhlaq Chohan, Gul Zaman

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

DOI: 10.4236/am.2012.38136 5,660 Downloads 9,497 Views Citations
Existence of Positive Solutions to Semipositone Fractional Differential Equations (Articles)

Xinsheng Du

Applied Mathematics Vol.7 No.14, August 17, 2016

DOI: 10.4236/am.2016.714127 2,134 Downloads 3,766 Views Citations
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 6,619 Downloads 8,774 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 1,936 Downloads 3,506 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 1,498 Downloads 3,462 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 937 Downloads 3,520 Views Citations
This article belongs to the Special Issue on Differential Equations and Its Applications
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 3,903 Downloads 6,867 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 6,960 Downloads 11,548 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 2,463 Downloads 4,084 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 2,340 Downloads 10,419 Views Citations
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 336 Downloads 1,280 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 106 Downloads 507 Views Citations
Natural Transform for Solving Fractional High Order Differential Equations (Articles)

Hanan S. Gafel

Advances in Pure Mathematics Vol.16 No.4, April 30, 2026

DOI: 10.4236/apm.2026.164018 40 Downloads 221 Views Citations
Viscoelastic Stress-Strain via CFD Fractional Conformable Derivatives (Articles)

Saber Talal Radwan Syouri

Applied Mathematics Vol.16 No.8, August 8, 2025

DOI: 10.4236/am.2025.168034 174 Downloads 663 Views Citations
Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method (Articles)

Yin Yang

Applied Mathematics Vol.4 No.1, January 28, 2013

DOI: 10.4236/am.2013.41020 8,443 Downloads 13,515 Views Citations
Positive Solutions for Systems of Coupled Fractional Boundary Value Problems (Articles)

Johnny Henderson, Rodica Luca, Alexandru Tudorache

Open Journal of Applied Sciences Vol.5 No.10, October 27, 2015

DOI: 10.4236/ojapps.2015.510059 3,212 Downloads 4,552 Views Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders (Articles)

Fatheah Alhendi, Wafa Shammakh, Hind Al-Badrani

Open Journal of Applied Sciences Vol.7 No.4, April 30, 2017

DOI: 10.4236/ojapps.2017.74014 1,985 Downloads 4,416 Views Citations

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