Long Memory; Fractional Brownian Motion; Tanaka Formula; Nonlinearity - Articles

Solving the Interval-Valued Linear Fractional Programming Problem (Articles)

Sohrab Effati, Morteza Pakdaman

American Journal of Computational Mathematics Vol.2 No.1, March 21, 2012

DOI: 10.4236/ajcm.2012.21006 8,263 Downloads 16,243 Views Citations
Integral Means of Univalent Solution for Fractional Differential Equation (Articles)

Rabha W. Ibrahim, Maslina Darus

Applied Mathematics Vol.3 No.6, June 26, 2012

DOI: 10.4236/am.2012.36091 3,883 Downloads 6,803 Views Citations
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 6,683 Downloads 12,056 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 3,863 Downloads 6,796 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 10,700 Downloads 16,545 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 6,857 Downloads 11,389 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 4,518 Downloads 6,984 Views Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method (Articles)

Muhammad Younis

Applied Mathematics Vol.5 No.13, July 10, 2014

DOI: 10.4236/am.2014.513186 4,981 Downloads 7,658 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 7,176 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Minimal Generalized Time-Bandwidth Product Method for Estimating the Optimum Fractional Fourier Order (Articles)

Lin Tian, Zhenming Peng

Journal of Computer and Communications Vol.3 No.3, March 17, 2015

DOI: 10.4236/jcc.2015.33002 2,698 Downloads 3,687 Views Citations
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 3,609 Downloads 5,154 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 3,951 Downloads 5,417 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 3,510 Downloads 5,115 Views Citations
This article belongs to the Special Issue on Fractional Calculus
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 4,037 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 2,280 Downloads 4,561 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 1,130 Downloads 2,421 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 2,557 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 10,324 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 554 Downloads 1,768 Views Citations
This article belongs to the Special Issue on Fractional Calculus and Its Application
Existence of Solutions for Fractional Boundary Value Problem Involving p-Laplacian Operator (Articles)

Ghader Mohmmed Alqurishi

Open Access Library Journal Vol.8 No.2, February 24, 2021

DOI: 10.4236/oalib.1107192 536 Downloads 1,622 Views Citations

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