Riemann-Liouville Fractional Derivative - Articles

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 10,127 Downloads 15,339 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem (Articles)

Samaneh Soradi Zeid, Mostafa Yousefi, Ali Vahidian Kamyad

American Journal of Computational Mathematics Vol.6 No.2，June 27, 2016

DOI: 10.4236/ajcm.2016.62015 2,140 Downloads 3,291 Views Citations
Fractional Calculus, Fractional Differential Equations and Applications (Articles)

Mariam Almahdi Mohammed Mu’lla

Open Access Library Journal Vol.7 No.6，June 23, 2020

DOI: 10.4236/oalib.1106244 1,704 Downloads 6,741 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 3,652 Downloads 6,254 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 3,459 Downloads 4,689 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 2,028 Downloads 3,861 Views Citations
Pseudo-Spectral Method for Space Fractional Diffusion Equation (Articles)

Yiting Huang, Minling Zheng

Applied Mathematics Vol.4 No.11，November 5, 2013

DOI: 10.4236/am.2013.411202 3,886 Downloads 6,664 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 1,477 Downloads 2,659 Views Citations
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations (Articles)

Md. Abdus Salam, Umme Habiba

Journal of Applied Mathematics and Physics Vol.7 No.4，April 24, 2019

DOI: 10.4236/jamp.2019.74061 1,113 Downloads 2,712 Views Citations
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials (Articles)

R. F. Al-Bar

Applied Mathematics Vol.6 No.12，November 26, 2015

DOI: 10.4236/am.2015.612184 3,105 Downloads 4,443 Views Citations
Upper Bound Estimation of Fractal Dimensions of Fractional Integral of Continuous Functions (Articles)

Yongshun Liang

Advances in Pure Mathematics Vol.5 No.1，January 13, 2015

DOI: 10.4236/apm.2015.51003 3,297 Downloads 4,463 Views Citations
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 445 Downloads 1,190 Views Citations
Positive Solutions for Systems of Coupled Fractional Boundary Value Problems (Articles)

Johnny Henderson, Rodica Luca, Alexandru Tudorache

Open Journal of Applied Sciences Vol.5 No.10，October 27, 2015

DOI: 10.4236/ojapps.2015.510059 3,038 Downloads 4,083 Views Citations
Modified Double Zeta Function and Its Properties (Articles)

Arif M. Khan

Advances in Pure Mathematics Vol.6 No.3，February 29, 2016

DOI: 10.4236/apm.2016.63013 2,573 Downloads 3,452 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research
Nonnegative Solutions for a Riemann-Liouville Fractional Boundary Value Problem (Articles)

Rodica Luca, Alexandru Tudorache

Open Journal of Applied Sciences Vol.9 No.10，October 17, 2019

DOI: 10.4236/ojapps.2019.910061 736 Downloads 1,771 Views Citations
A Technique for Estimation of Box Dimension about Fractional Integral (Articles)

Ruhua Zhang

Advances in Pure Mathematics Vol.13 No.10，October 31, 2023

DOI: 10.4236/apm.2023.1310049 97 Downloads 351 Views Citations
Oscillation for a Class of Fractional Differential Equation (Articles)

Qian Feng, Anping Liu

Journal of Applied Mathematics and Physics Vol.7 No.7，July 10, 2019

DOI: 10.4236/jamp.2019.77096 956 Downloads 2,007 Views Citations
Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations (Articles)

Xulong Wang, Siying Long, Anping Liu

Journal of Applied Mathematics and Physics Vol.10 No.10，October 21, 2022

DOI: 10.4236/jamp.2022.1010203 122 Downloads 632 Views Citations
Kummer’s 24 Solutions of the Hypergeometric Differential Equation with the Aid of Fractional Calculus (Articles)

Tohru Morita, Ken-ichi Sato

Advances in Pure Mathematics Vol.6 No.3，February 29, 2016

DOI: 10.4236/apm.2016.63015 3,851 Downloads 6,666 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mehdi Safari

Applied Mathematics Vol.2 No.9，September 19, 2011

DOI: 10.4236/am.2011.29150 6,544 Downloads 11,743 Views Citations

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