Fractional Derivative - Articles - Scientific Research Publishing

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 10,332 Downloads 15,534 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 1,005 Downloads 2,127 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 143 Downloads 727 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 1,885 Downloads 7,265 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 3,924 Downloads 6,883 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 6,625 Downloads 11,887 Views Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mohammad Danesh, Mehdi Safari

Advances in Pure Mathematics Vol.1 No.6，November 24, 2011

DOI: 10.4236/apm.2011.16062 7,310 Downloads 15,228 Views Citations
Fractional Weierstrass Function by Application of Jumarie Fractional Trigonometric Functions and Its Analysis (Articles)

Uttam Ghosh, Susmita Sarkar, Shantanu Das

Advances in Pure Mathematics Vol.5 No.12，October 13, 2015

DOI: 10.4236/apm.2015.512065 3,009 Downloads 4,344 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 2,305 Downloads 5,479 Views Citations
Existence and Uniqueness of Solutions to Impulsive Fractional Integro-Differential Equations with Nonlocal Conditions (Articles)

Zhenghui Gao, Liu Yang, Gang Liu

Applied Mathematics Vol.4 No.6，June 3, 2013

DOI: 10.4236/am.2013.46118 5,991 Downloads 11,534 Views Citations
Argument Estimates of Multivalent Functions Involving a Certain Fractional Derivative Operator (Articles)

Jae Ho Choi

Advances in Pure Mathematics Vol.5 No.2，February 13, 2015

DOI: 10.4236/apm.2015.52011 3,872 Downloads 4,827 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 4,712 Downloads 5,838 Views Citations
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 2,175 Downloads 3,348 Views Citations
Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection (Articles)

Felix Silva Costa, Marta Raquel Araujo Pereira

Journal of Applied Mathematics and Physics Vol.5 No.2，February 24, 2017

DOI: 10.4236/jamp.2017.52041 1,453 Downloads 2,347 Views Citations
This article belongs to the Special Issue on Mathematical Physical Model and Method
Lyapunov-Type Inequalities for Conformable BVP (Articles)

Xia Wang, Run Xu

Journal of Applied Mathematics and Physics Vol.6 No.7，July 27, 2018

DOI: 10.4236/jamp.2018.67131 759 Downloads 1,451 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 1,318 Downloads 2,756 Views Citations
On the Nonlinear Neutral Conformable Fractional Integral-Differential Equation (Articles)

Rui Li, Wei Jiang, Jiale Sheng, Sen Wang

Applied Mathematics Vol.11 No.10，October 28, 2020

DOI: 10.4236/am.2020.1110069 638 Downloads 1,722 Views Citations
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with L¹ -Data (Articles)

Safimba Soma, Mohamed Bance

Journal of Applied Mathematics and Physics Vol.11 No.12，December 29, 2023

DOI: 10.4236/jamp.2023.1112261 149 Downloads 489 Views Citations
Establishment of a Fractional Order COVID-19 Model and Its Feasibility Analysis (Articles)

Rong Kang, Tianzeng Li, Yu Zhao

Journal of Computer and Communications Vol.12 No.10，October 18, 2024

DOI: 10.4236/jcc.2024.1210006 41 Downloads 226 Views Citations
Numerical Simulation and Parameter Estimation of Fractional-Order Dynamic Epidemic Model for COVID-19 (Articles)

Rong Kang, Tianzeng Li

Journal of Applied Mathematics and Physics Vol.12 No.10，October 29, 2024

DOI: 10.4236/jamp.2024.1210206 42 Downloads 262 Views Citations

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