Fractional Diffusion - 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 6,912 Downloads 12,541 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 7,546 Downloads 15,820 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 190 Downloads 706 Views Citations
Anomalous diffusion in a variable area whose boundary moves with a constant speed (Articles)

Xicheng Li

Open Journal of Applied Sciences Vol.2 No.4B, January 16, 2013

DOI: 10.4236/ojapps.2012.24B042 3,979 Downloads 5,802 Views Citations
White Matter Changes in Alzheimer’s Disease Revealed by Diffusion Tensor Imaging with TBSS (Articles)

Hongyan Chen, Kai Wang, Jingfan Yao, Jianping Dai, Jun Ma, Shaowu Li, Lin Ai, Qian Chen, Xuzhu Chen, Yumei Zhang

World Journal of Neuroscience Vol.5 No.1, February 5, 2015

DOI: 10.4236/wjns.2015.51007 4,336 Downloads 6,006 Views Citations
Preoperative and Postoperative Diffusion Tensor Imaging in Patients with Extra-Axial Lesions at the Frontal or Temporal Regions of the Brain and Their Correlations with Neuropsychological Outcomes (Articles)

Lim Liang Hooi, Zamzuri Idris, Win Mar, Wan Nor Azlen Wan Mohamad

Journal of Biomedical Science and Engineering Vol.9 No.13, December 8, 2016

DOI: 10.4236/jbise.2016.913052 1,577 Downloads 3,155 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 1,580 Downloads 2,762 Views Citations
This article belongs to the Special Issue on Mathematical Physical Model and Method
One Dimensional Random Motion on Segment with Reflecting Edges and Dependent Increments (Articles)

Gurami Tsitsiashvili

Journal of Applied Mathematics and Physics Vol.6 No.3, March 15, 2018

DOI: 10.4236/jamp.2018.63045 729 Downloads 1,522 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 1,386 Downloads 3,386 Views Citations
Homotopy Analysis Method Solution to Time-Fractional Diffusion with a Moving Boundary (Articles)

Ogugua N. Onyejekwe

Journal of Applied Mathematics and Physics Vol.13 No.6, June 25, 2025

DOI: 10.4236/jamp.2025.136116 82 Downloads 435 Views Citations
Pricing Study on Two Kinds of Power Options in Jump-Diffusion Models with Fractional Brownian Motion and Stochastic Rate (Articles)

Jin Li, Kaili Xiang, Chuanyi Luo

Applied Mathematics Vol.5 No.16, August 29, 2014

DOI: 10.4236/am.2014.516234 3,445 Downloads 4,560 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 137 Downloads 725 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 3,745 Downloads 5,806 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 4,183 Downloads 7,306 Views Citations
Fractional Order Two Temperature Thermo-Elastic Behavior of Piezoelectric Materials (Articles)

Essam Bassiouny, Refaat Sabry

Journal of Applied Mathematics and Physics Vol.1 No.5, November 12, 2013

DOI: 10.4236/jamp.2013.15017 4,455 Downloads 7,874 Views Citations
Nonlocal Models of Cosmic Ray Transport in the Galaxy (Articles)

Vladimir V. Uchaikin

Journal of Applied Mathematics and Physics Vol.3 No.2, January 30, 2015

DOI: 10.4236/jamp.2015.32029 3,377 Downloads 4,643 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 4,016 Downloads 6,356 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 1,176 Downloads 2,549 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 1,042 Downloads 2,310 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 832 Downloads 1,862 Views Citations

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