Nonlinear Fractional Differential Equation - Articles

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 1,954 Downloads 3,258 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 6,417 Downloads 8,185 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 1,789 Downloads 3,046 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 1,320 Downloads 2,768 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 758 Downloads 2,854 Views Citations
This article belongs to the Special Issue on Differential Equations and Its Applications
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM) (Articles)

Maryam Al-Mazmumy, Safa O. Almuhalbedi

Int'l J. of Modern Nonlinear Theory and Application Vol.5 No.4，December 16, 2016

DOI: 10.4236/ijmnta.2016.54022 1,950 Downloads 4,271 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 3,722 Downloads 6,369 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 6,576 Downloads 10,755 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 2,346 Downloads 3,679 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 2,094 Downloads 9,302 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 442 Downloads 1,405 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
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 54 Downloads 240 Views Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

Taher A. Nofal, Gamal M. Ismail, Sayed Abdel-Khalek

Journal of Modern Physics Vol.4 No.11，November 22, 2013

DOI: 10.4236/jmp.2013.411179 4,064 Downloads 6,040 Views Citations
Application of the Homotopy Perturbation Method to Nonlinear Heat Conduction and Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

T. A. Nofel

Applied Mathematics Vol.5 No.6，April 2, 2014

DOI: 10.4236/am.2014.56081 8,071 Downloads 10,629 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 5,368 Downloads 8,984 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 138 Downloads 1,163 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 364 Downloads 3,212 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 5 Downloads 37 Views Citations
Multi-Branch Fractional Multi-Bit Differential Detection of Continuous Phase Modulation with Decision Feedback (Articles)

Jinhua Sun, Xiaojun Wu

Communications and Network Vol.3 No.1，February 25, 2011

DOI: 10.4236/cn.2011.31004 5,309 Downloads 9,168 Views Citations
Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces (Articles)

Ahmed Gamal Ibrahim, Nawal Abdulwahab Al Sarori

Applied Mathematics Vol.4 No.7A，July 9, 2013

DOI: 10.4236/am.2013.47A008 4,958 Downloads 8,033 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application

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