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 61 Downloads 357 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 3,701 Downloads 5,723 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 3,862 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 11,365 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 4,517 Downloads 6,974 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 5,275 Downloads 7,170 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 3,605 Downloads 5,146 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 2,276 Downloads 4,543 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 1,080 Downloads 2,549 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 1,757 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 673 Downloads 1,844 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 95 Downloads 562 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 76 Downloads 446 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
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 124 Downloads 560 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 1,164 Downloads 2,644 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 1,640 Downloads 3,145 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 106 Downloads 656 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 152 Downloads 746 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 6,771 Downloads 10,387 Views Citations

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