Fractional Derivative - Articles - Scientific Research Publishing

Exact Solutions and Hyers-Ulam Stability of the Nonhomogeneous Riemann-Liouville Fractional Oscillatory Differential Equations with Pure Delay (Articles)

Fang Wang, Yanyan Hu, Qing Fang

Journal of Applied Mathematics and Physics Vol.13 No.4，April 27, 2025

DOI: 10.4236/jamp.2025.134083 23 Downloads 119 Views Citations
Fractal and Fractional Diffusion Equations of Price Changing of Commodity (Articles)

Tianquan Yun

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

DOI: 10.4236/am.2013.47A005 3,581 Downloads 5,381 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 6,370 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 6,577 Downloads 10,757 Views Citations
Positive Solutions for Fractional Differential Equations with Multi-Point Boundary Value Problems (Articles)

Lina Zhou, Weihua Jiang

Journal of Applied Mathematics and Physics Vol.2 No.5，April 24, 2014

DOI: 10.4236/jamp.2014.25014 4,406 Downloads 6,599 Views Citations
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation (Articles)

N. H. Sweilam, M. M. Khader, M. Adel

Applied Mathematics Vol.5 No.19，November 18, 2014

DOI: 10.4236/am.2014.519301 5,133 Downloads 6,717 Views Citations
This article belongs to the Special Issue on Numerical Analysis
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 3,505 Downloads 4,781 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 2,099 Downloads 3,993 Views Citations
The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method (Articles)

Xiaohua Liu

Journal of Applied Mathematics and Physics Vol.6 No.10，October 10, 2018

DOI: 10.4236/jamp.2018.610167 949 Downloads 2,119 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
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations (Articles)

Thilagarajah Mathanaranjan, Dayalini Vijayakumar

Journal of Applied Mathematics and Physics Vol.9 No.2，February 25, 2021

DOI: 10.4236/jamp.2021.92019 549 Downloads 1,468 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 64 Downloads 271 Views Citations
Real Options Assessment in the Time-Fractional Heston Model with Jump and Inertia (Articles)

Ngoyi Landu Tresor, René Gilles Bokolo, Mabela Rostin, Walo Omana

Journal of Applied Mathematics and Physics Vol.13 No.6，June 12, 2025

DOI: 10.4236/jamp.2025.136111 27 Downloads 153 Views Citations
Reconstruct the Heat Conduction Model with Memory Dependent Derivative (Articles)

Wenwen Sun, Jinliang Wang

Applied Mathematics Vol.9 No.9，September 27, 2018

DOI: 10.4236/am.2018.99072 1,061 Downloads 2,186 Views Citations
The Exact Solution of the Space-Time Fractional Modified Kdv-Zakharov-Kuznetsov Equation (Articles)

Qiuyan Jin, Tiecheng Xia, Jinbo Wang

Journal of Applied Mathematics and Physics Vol.5 No.4，April 28, 2017

DOI: 10.4236/jamp.2017.54074 1,528 Downloads 2,782 Views Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay (Articles)

Anran Li, Qing Yang

Engineering Vol.17 No.1，January 21, 2025

DOI: 10.4236/eng.2025.171004 46 Downloads 265 Views Citations
Fractional-Order Financial System Using Efficient Numerical Methods (Articles)

Hunida Malaikah, Jawaher Faisal Al-Abdali

American Journal of Computational Mathematics Vol.15 No.1，March 31, 2025

DOI: 10.4236/ajcm.2025.151004 45 Downloads 262 Views Citations
Square-Root Dynamics of a SIR-Model in Fractional Order (Articles)

Young Il Seo, Anwar Zeb, Gul Zaman, Il Hyo Jung

Applied Mathematics Vol.3 No.12，December 14, 2012

DOI: 10.4236/am.2012.312257 6,558 Downloads 9,773 Views Citations
Dynamic properties of structures with dampers modelled using fractional order derivatives (Articles)

Zdzisław Pawlak, Roman Lewandowski

Open Journal of Applied Sciences Vol.2 No.4B，January 15, 2013

DOI: 10.4236/ojapps.2012.24B033 4,321 Downloads 6,337 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 8,225 Downloads 12,899 Views Citations

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