fractional calculus; moving boundary; steady state approximation; anomalous diffusion - Articles

Analysis of Higher Order System with Impulse Exciting Functions in Z-Domain (Articles)

Branislav Dobrucký, Pavol Štefanec, Mariana Beňová, Oleg V. Chernoyarov, Michal Pokorný

Circuits and Systems Vol.7 No.11, September 30, 2016

DOI: 10.4236/cs.2016.711328 1,569 Downloads 2,769 Views Citations
A Hybrid ESA-CCD Method for Variable-Order Time-Fractional Diffusion Equations (Articles)

Xiaoxue Lu, Chunhua Zhang, Huiling Xue, Bowen Zhong

Journal of Applied Mathematics and Physics Vol.12 No.9, September 10, 2024

DOI: 10.4236/jamp.2024.129183 126 Downloads 639 Views Citations
Finite Volume Element Method for Fractional Order Neutral Time-Delay Differential Equations (Articles)

Zicheng Wei, Qing Yang

Engineering Vol.17 No.1, January 20, 2025

DOI: 10.4236/eng.2025.171003 81 Downloads 596 Views Citations
Approximate Solution of the Singular-Perturbation Problem on Chebyshev-Gauss Grid (Articles)

Mustafa GÜLSU, Yalçn ÖZTÜRK

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14024 6,364 Downloads 11,951 Views Citations
The Calculation of Stress-Strain State of Anisotropic Composite Finite-Element Area with Different Boundary Conditions on the Surface (Articles)

Bergulyov Anton

World Journal of Mechanics Vol.4 No.1, January 23, 2014

DOI: 10.4236/wjm.2014.41004 4,522 Downloads 9,400 Views Citations
Solution of a One-Dimension Heat Equation Using Higher-Order Finite Difference Methods and Their Stability (Articles)

M. Emran Ali, Wahida Zaman Loskor, Samia Taher, Farjana Bilkis

Journal of Applied Mathematics and Physics Vol.10 No.3, March 24, 2022

DOI: 10.4236/jamp.2022.103060 382 Downloads 3,056 Views Citations
On the Behavior of Combination High-Order Compact Approximations with Preconditioned Methods in the Diffusion-Convection Equation (Articles)

Ahmad Golbabai, Mahboubeh Molavi-Arabshahi

Applied Mathematics Vol.2 No.12, December 27, 2011

DOI: 10.4236/am.2011.212208 3,869 Downloads 7,764 Views Citations
Inference for Interest Rate Models Using Milstein’s Approximation (Articles)

Theodoro Koulis, Aera Thavaneswaran

Journal of Mathematical Finance Vol.3 No.1, February 28, 2013

DOI: 10.4236/jmf.2013.31010 3,826 Downloads 7,738 Views Citations
Wave Functions, Creation and Annihilation Operators of Quantum Physical System (Articles)

Malkhaz Mumladze

Open Access Library Journal Vol.6 No.1, January 22, 2019

DOI: 10.4236/oalib.1105166 556 Downloads 1,498 Views Citations
Variable-Order Fractional Derivatives in Financial Systems (Articles)

Hunida Malaikah, Jawaher Faisal Al-Abdali

Applied Mathematics Vol.16 No.6, June 24, 2025

DOI: 10.4236/am.2025.166025 106 Downloads 774 Views Citations
Global Attractors for Nonclassical Diffusion Equations with State Delay (Articles)

Na Ma, Qiaozhen Ma

Journal of Applied Mathematics and Physics Vol.13 No.11, November 3, 2025

DOI: 10.4236/jamp.2025.1311206 46 Downloads 271 Views Citations
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A, October 31, 2013

DOI: 10.4236/am.2013.411A1003 5,055 Downloads 7,652 Views Citations
This article belongs to the Special Issue on Functional Analysis
Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A, October 31, 2013

DOI: 10.4236/am.2013.411A1005 5,240 Downloads 8,665 Views Citations
This article belongs to the Special Issue on Functional Analysis
Natural Transform for Solving Fractional Models (Articles)

Ahmed Safwat Abdel-Rady, Saad Zagloul Rida, Anas Ahmed Mohamed Arafa, Hamdy Ragab Abedl-Rahim

Journal of Applied Mathematics and Physics Vol.3 No.12, December 24, 2015

DOI: 10.4236/jamp.2015.312188 3,992 Downloads 6,149 Views Citations
Existence and Stability Results for Impulsive Fractional q-Difference Equation (Articles)

Min Jiang, Rengang Huang

Journal of Applied Mathematics and Physics Vol.8 No.7, July 30, 2020

DOI: 10.4236/jamp.2020.87107 619 Downloads 1,457 Views Citations
Adaptive Fractional-Order Damping via Extremum Seeking Control for Intelligent Vehicle Suspension Systems (Articles)

Jean-Francois Niglio

Engineering Vol.17 No.7, July 23, 2025

DOI: 10.4236/eng.2025.177020 101 Downloads 520 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 106 Downloads 660 Views Citations
A New Iterative Method for Multi-Moving Boundary Problems Based Boundary Integral Method (Articles)

Kawther K. Al-Swat, Said G. Ahmed

Journal of Applied Mathematics and Physics Vol.3 No.9, September 18, 2015

DOI: 10.4236/jamp.2015.39140 2,730 Downloads 3,820 Views Citations
Multi-Cultural Dynamics on Social Networks under External Random Perturbations (Articles)

J. Chandra, G. S. Ladde

International Journal of Communications, Network and System Sciences Vol.7 No.6, June 17, 2014

DOI: 10.4236/ijcns.2014.76020 3,889 Downloads 5,065 Views Citations
Phonon Mediated Electron-Electron Scattering in Metals (Articles)

V. Palenskis, E. Žitkevičius

World Journal of Condensed Matter Physics Vol.8 No.3, August 27, 2018

DOI: 10.4236/wjcmp.2018.83008 2,725 Downloads 4,956 Views Citations

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