Fractional Order Operator - Articles - Scientific Research Publishing

Numerical Study of Fractional Differential Equations of Lane-Emden Type by Method of Collocation (Articles)

Mohammed S. Mechee, Norazak Senu

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

DOI: 10.4236/am.2012.38126 6,725 Downloads 12,136 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 3,903 Downloads 6,872 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
Fractional Versions of the Fundamental Theorem of Calculus (Articles)

Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira

Applied Mathematics Vol.4 No.7A, July 8, 2013

DOI: 10.4236/am.2013.47A006 10,749 Downloads 16,685 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 6,962 Downloads 11,554 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 4,554 Downloads 7,057 Views Citations
Pricing Study on Two Kinds of Power Options in Jump-Diffusion Models with Fractional Brownian Motion and Stochastic Rate (Articles)

Jin Li, Kaili Xiang, Chuanyi Luo

Applied Mathematics Vol.5 No.16, August 29, 2014

DOI: 10.4236/am.2014.516234 3,445 Downloads 4,559 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 5,311 Downloads 7,247 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 3,657 Downloads 5,237 Views Citations
Approximate Technique for Solving Class of Fractional Variational Problems (Articles)

Emad M. Solouma, Mohamed M. Khader

Applied Mathematics Vol.6 No.5, May 19, 2015

DOI: 10.4236/am.2015.65078 3,974 Downloads 5,465 Views Citations
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models (Articles)

Toshiharu Kawasaki, Masashi Toyoda

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613192 3,557 Downloads 5,182 Views Citations
This article belongs to the Special Issue on Fractional Calculus
Strong Local Non-Determinism of Sub-Fractional Brownian Motion (Articles)

Nana Luan

Applied Mathematics Vol.6 No.13, November 30, 2015

DOI: 10.4236/am.2015.613194 3,486 Downloads 4,955 Views Citations
This article belongs to the Special Issue on Fractional Calculus
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 2,305 Downloads 4,651 Views Citations
Fractional Difference Approximations for Time-Fractional Telegraph Equation (Articles)

Ru Liu

Journal of Applied Mathematics and Physics Vol.6 No.1, January 31, 2018

DOI: 10.4236/jamp.2018.61029 1,172 Downloads 2,673 Views Citations
Hölder Regularity for Abstract Fractional Cauchy Problems with Order in (0,1) (Articles)

Chenyu Li, Miao Li

Journal of Applied Mathematics and Physics Vol.6 No.1, January 31, 2018

DOI: 10.4236/jamp.2018.61030 1,148 Downloads 2,467 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 1,116 Downloads 2,623 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 2,343 Downloads 10,438 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 571 Downloads 1,820 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 706 Downloads 1,905 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 1,287 Views Citations
Binding Number and Fractional k-Factors of Graphs (Articles)

Renying Chang

Journal of Applied Mathematics and Physics Vol.12 No.7, July 29, 2024

DOI: 10.4236/jamp.2024.127154 187 Downloads 659 Views Citations

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