Fractional Order Integro-Differential Equation - Articles

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 47 Downloads 215 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 6,507 Downloads 11,482 Views Citations
A Family of Methods for Solving Nonlinear Equations with Twelfth-Order Convergence (Articles)

Xilan Liu, Xiaorui Wang

Applied Mathematics Vol.4 No.2，February 27, 2013

DOI: 10.4236/am.2013.42049 4,386 Downloads 8,464 Views Citations
A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation (Articles)

A. Mareno

Journal of Applied Mathematics and Physics Vol.4 No.8，August 30, 2016

DOI: 10.4236/jamp.2016.48176 1,832 Downloads 2,832 Views Citations
High-Order Finite Difference Method for Helmholtz Equation in Polar Coordinates (Articles)

Na Zhu, Meiling Zhao

American Journal of Computational Mathematics Vol.9 No.3，August 30, 2019

DOI: 10.4236/ajcm.2019.93013 736 Downloads 2,073 Views Citations
Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method (Articles)

Nawal Abdullah Alzaid, Bashayr Ali Alrayiqi

Journal of Applied Mathematics and Physics Vol.7 No.9，September 28, 2019

DOI: 10.4236/jamp.2019.79147 650 Downloads 1,686 Views Citations
Long-Term Release of Iron-Cyanide Complexes from the Soils of a Manufactured Gas Plant Site (Articles)

Magdalena Sut, Thomas Fischer, Frank Repmann, Thomas Raab

Journal of Environmental Protection Vol.4 No.11B，November 29, 2013

DOI: 10.4236/jep.2013.411B002 6,267 Downloads 8,321 Views Citations
This article belongs to the Special Issue on Industrial Pollution
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 3,688 Downloads 6,335 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 5,121 Downloads 6,677 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 3,500 Downloads 4,749 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 2,079 Downloads 3,929 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 1,035 Downloads 2,226 Views Citations
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 533 Downloads 1,424 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 204 Downloads 856 Views Citations
Approximate Analytical Solutions of Fractional Coupled mKdV Equation by Homotopy Analysis Method (Articles)

Orkun Tasbozan, Alaattin Esen, Nuri Murat Yagmurlu

Open Journal of Applied Sciences Vol.2 No.3，September 28, 2012

DOI: 10.4236/ojapps.2012.23029 7,503 Downloads 21,117 Views Citations
Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional q-Difference Equation (Articles)

Liu Yang

Applied Mathematics Vol.4 No.10，October 14, 2013

DOI: 10.4236/am.2013.410195 6,245 Downloads 14,173 Views Citations
First Integral Method: A General Formula for Nonlinear Fractional Klein-Gordon Equation Using Advanced Computing Language (Articles)

Mohamed A. Abdoon

American Journal of Computational Mathematics Vol.5 No.2，June 10, 2015

DOI: 10.4236/ajcm.2015.52011 6,185 Downloads 7,367 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 4,707 Downloads 5,817 Views Citations
Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions (Articles)

Mahmoud N. Sherif

Applied Mathematics Vol.7 No.6，March 24, 2016

DOI: 10.4236/am.2016.76048 3,246 Downloads 5,645 Views Citations
Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time-Space Fractional Nonlinear Fractional Differential Equations (Articles)

Mohamed Z. Mohamed, Tarig M. Elzaki

Applied Mathematics Vol.9 No.4，April 30, 2018

DOI: 10.4236/am.2018.94032 1,783 Downloads 4,336 Views Citations

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