Fractional Diffusion Equation - Articles - Scientific Research Publishing

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
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation (Articles)

Hasib Uddin Molla, Mushfika Hossain Nova

American Journal of Computational Mathematics Vol.8 No.2，June 13, 2018

DOI: 10.4236/ajcm.2018.82010 1,203 Downloads 2,805 Views Citations
Solution of Nonlinear Advection-Diffusion Equations via Linear Fractional Map Type Nonlinear QCA (Articles)

Shinji Hamada, Hideo Sekino

Journal of Quantum Information Science Vol.6 No.4，December 13, 2016

DOI: 10.4236/jqis.2016.64017 1,383 Downloads 2,592 Views Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay (Articles)

Anran Li, Qing Yang

Engineering Vol.17 No.1，January 21, 2025

DOI: 10.4236/eng.2025.171004 44 Downloads 240 Views Citations
Fractal and Fractional Diffusion Equations of Price Changing of Commodity (Articles)

Tianquan Yun

Applied Mathematics Vol.4 No.7A，July 5, 2013

DOI: 10.4236/am.2013.47A005 3,581 Downloads 5,372 Views Citations
This article belongs to the Special Issue on Fractional Calculus Theory and Application
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 3,965 Downloads 6,772 Views Citations
Finite Element Method for a Kind of Two-Dimensional Space-Fractional Diffusion Equation with Its Implementation (Articles)

Beiping Duan, Zhoushun Zheng, Wen Cao

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

DOI: 10.4236/ajcm.2015.52012 3,793 Downloads 5,707 Views Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials (Articles)

Mushfika Hossain Nova, Hasib Uddin Molla, Sajeda Banu

American Journal of Computational Mathematics Vol.7 No.4，December 15, 2017

DOI: 10.4236/ajcm.2017.74034 1,026 Downloads 2,101 Views Citations
Alternating Segment Explicit-Implicit and Implicit-Explicit Parallel Difference Method for Time Fractional Sub-Diffusion Equation (Articles)

Lifei Wu, Yadi Zhao, Xiaozhong Yang

Journal of Applied Mathematics and Physics Vol.6 No.5，May 28, 2018

DOI: 10.4236/jamp.2018.65089 895 Downloads 1,802 Views Citations
A Class of Semi-Implicit Parallel Difference Method for Time Fractional Diffusion Equations (Articles)

Lifei Wu, Jiake Sun, Xiaozhong Yang

Journal of Applied Mathematics and Physics Vol.8 No.1，January 10, 2020

DOI: 10.4236/jamp.2020.81012 684 Downloads 1,395 Views Citations
Green Function of Generalized Time Fractional Diffusion Equation Using Addition Formula of Mittag-Leffler Function (Articles)

Fang Wang, Jinmeng Zhang

Journal of Applied Mathematics and Physics Vol.10 No.9，September 23, 2022

DOI: 10.4236/jamp.2022.109182 170 Downloads 660 Views Citations
A Compact Finite Volume Scheme for the Multi-Term Time Fractional Sub-Diffusion Equation (Articles)

Baojin Su, Yanan Wang, Jingwen Qi, Yousen Li

Journal of Applied Mathematics and Physics Vol.10 No.10，October 27, 2022

DOI: 10.4236/jamp.2022.1010210 129 Downloads 649 Views Citations
Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term (Articles)

Vadivel Sadhasivam, Jayapal Kavitha

Applied Mathematics Vol.7 No.3，February 29, 2016

DOI: 10.4236/am.2016.73025 2,506 Downloads 3,647 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 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
Global Well-Posedness of the Fractional Tropical Climate Model (Articles)

Meiqi Hu

Journal of Applied Mathematics and Physics Vol.12 No.3，March 25, 2024

DOI: 10.4236/jamp.2024.123049 94 Downloads 348 Views Citations
Correlation between Diffusion Equation and Schrödinger Equation (Articles)

Takahisa Okino

Journal of Modern Physics Vol.4 No.5，May 23, 2013

DOI: 10.4236/jmp.2013.45088 8,110 Downloads 12,217 Views Citations
The Efficiency of a p-n Solar Diode as a Function of the Recombination Velocity within the Depletion Layer (Articles)

Mohamed K. El-Adawi, Najla S. Al-Shameri

Optics and Photonics Journal Vol.2 No.4，December 31, 2012

DOI: 10.4236/opj.2012.24040 3,237 Downloads 5,674 Views Citations
Ground State Solutions for p-Fractional Choquard-Kirchhoff Equations Involving Electromagnetic Fields and Critical Nonlinearity (Articles)

Xueqian Yan

Open Access Library Journal Vol.9 No.6，June 15, 2022

DOI: 10.4236/oalib.1108837 106 Downloads 678 Views Citations

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