Riemann-Liouville Fractional Derivative; Weighted Cauchy-Type Problem; Fractional Differential Equations - Articles

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 3,631 Downloads 6,200 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 3,447 Downloads 4,652 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 2,006 Downloads 3,816 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 3,030 Downloads 4,050 Views Citations
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 730 Downloads 1,737 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 1,463 Downloads 2,609 Views Citations
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 10,070 Downloads 15,197 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 2,137 Downloads 3,271 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 1,642 Downloads 6,433 Views Citations
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation (Articles)

Yufeng Sun, Zheng Zeng, Jie Song

Applied Mathematics Vol.8 No.3，March 24, 2017

DOI: 10.4236/am.2017.83026 2,205 Downloads 5,185 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 3,871 Downloads 6,618 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 3,095 Downloads 4,400 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 1,079 Downloads 2,609 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 3,290 Downloads 4,431 Views Citations
Applications of Fractional Calculus to Newtonian Mechanics (Articles)

Gabriele U. Varieschi

Journal of Applied Mathematics and Physics Vol.6 No.6，June 21, 2018

DOI: 10.4236/jamp.2018.66105 2,057 Downloads 6,208 Views Citations
Numerical Solution for Initial and Boundary Value Problems of Fractional Order (Articles)

A. M. Kawala

Advances in Pure Mathematics Vol.8 No.12，December 19, 2018

DOI: 10.4236/apm.2018.812051 1,258 Downloads 2,583 Views Citations
Fractional Differential Equations with Initial Conditions at Inner Points in Banach Spaces (Articles)

Xiaoping Xu, Guangxian Wu, Qixiang Dong

Advances in Pure Mathematics Vol.5 No.14，December 7, 2015

DOI: 10.4236/apm.2015.514075 4,643 Downloads 5,678 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 941 Downloads 1,943 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 111 Downloads 593 Views Citations
Legendre-Weighted Residual Methods for System of Fractional Order Differential Equations (Articles)

Umme Ruman, Md. Shafiqul Islam

Journal of Applied Mathematics and Physics Vol.12 No.9，September 27, 2024

DOI: 10.4236/jamp.2024.129190 14 Downloads 67 Views Citations

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