Fractional Differential Equation - Articles - Scientific Research Publishing

On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials (Articles)

R. F. Al-Bar

Applied Mathematics Vol.6 No.12, November 26, 2015

DOI: 10.4236/am.2015.612184 3,292 Downloads 5,022 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 5,621 Downloads 9,415 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 2,084 Downloads 3,674 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 6,571 Downloads 8,684 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 1,907 Downloads 3,434 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 1,474 Downloads 3,382 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 897 Downloads 3,426 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 3,862 Downloads 6,786 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 6,850 Downloads 11,367 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 2,438 Downloads 4,035 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 2,312 Downloads 10,307 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 552 Downloads 1,758 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 95 Downloads 562 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 93 Downloads 462 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 29 Downloads 168 Views Citations
Numerical Solution of Functional Integral and Integro-Differential Equations by Using B-Splines (Articles)

Hesam-Eldien Derili Gherjalar, Hossein Mohammadikia

Applied Mathematics Vol.3 No.12, December 17, 2012

DOI: 10.4236/am.2012.312265 5,507 Downloads 9,462 Views Citations
Differential Calculus the Study of the Growth and Decay of an Entity’s Population (Articles)

Lansana Toure, Mouctar Ndiaye

Journal of Applied Mathematics and Physics Vol.11 No.9, September 27, 2023

DOI: 10.4236/jamp.2023.119173 227 Downloads 1,766 Views Citations
This article belongs to the Special Issue on Mathematical Physical Model and Method
The Differential Transform (Articles)

Eng. Mahmoud Abu Hilal

Journal of Applied Mathematics and Physics Vol.9 No.8, August 25, 2021

DOI: 10.4236/jamp.2021.98129 456 Downloads 3,854 Views Citations
An Analytical Serendipity-Based Technique for Solving the Canonical Riccati Equation (Articles)

Leandro Melendez-Lugo

Journal of High Energy Physics, Gravitation and Cosmology Vol.11 No.3, July 11, 2025

DOI: 10.4236/jhepgc.2025.113055 50 Downloads 344 Views Citations
A General Analytical Solution to the Nonlinear Riccati Differential Equation (Articles)

Leandro Meléndez-Lugo

Journal of High Energy Physics, Gravitation and Cosmology Vol.11 No.4, September 26, 2025

DOI: 10.4236/jhepgc.2025.114080 58 Downloads 370 Views Citations

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