Fractional Steps Method - Articles - Scientific Research Publishing

On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium (Articles)

Ahmed M. A. El-Sayed, Saad Z. Rida, Anas A. M. Arafa

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

DOI: 10.4236/am.2011.212214 5,210 Downloads 8,739 Views Citations
The Homotopy Analysis Method for Approximating of Giving Up Smoking Model in Fractional Order (Articles)

Anwar Zeb, M. Ikhlaq Chohan, Gul Zaman

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38136 5,660 Downloads 9,497 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 7,770 Downloads 21,683 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 6,337 Downloads 7,904 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 1,989 Downloads 5,043 Views Citations
Finite Element Approach for the Solution of First-Order Differential Equations (Articles)

André Schmidt, Horst R. Beyer, Matthias Hinze, Evangelos N. Vandoros

Journal of Applied Mathematics and Physics Vol.8 No.10, October 15, 2020

DOI: 10.4236/jamp.2020.810155 937 Downloads 3,520 Views Citations
This article belongs to the Special Issue on Differential Equations and Its Applications
Homotopy Analysis Method for a Conservative Nonlinear Oscillator with Fractional Power (Articles)

Huaxiong Chen, Yanyan Wang

Journal of Applied Mathematics and Physics Vol.9 No.1, January 6, 2021

DOI: 10.4236/jamp.2021.91004 637 Downloads 1,853 Views Citations
Phase Portraits and Traveling Wave Solutions of a Fractional Generalized Reaction Duffing Equation (Articles)

Kelei Zhang, Zhenfeng Zhang, Tao Yuwen

Advances in Pure Mathematics Vol.12 No.7, July 28, 2022

DOI: 10.4236/apm.2022.127035 326 Downloads 1,213 Views Citations
The Natural Transform Decomposition Method for Solving Fractional Klein-Gordon Equation (Articles)

Mohamed Elbadri

Applied Mathematics Vol.14 No.3, March 31, 2023

DOI: 10.4236/am.2023.143014 356 Downloads 1,716 Views Citations
Existence of Solutions for Fractional Klein-Gordon-Maxwell Systems (Articles)

Tao Li

Open Access Library Journal Vol.10 No.4, April 12, 2023

DOI: 10.4236/oalib.1110024 104 Downloads 810 Views Citations
Adomian Decomposition Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5, May 31, 2023

DOI: 10.4236/am.2023.145020 305 Downloads 1,408 Views Citations
Variational Iteration Method for Solving Time Fractional Burgers Equation Using Maple (Articles)

Fayza Alwehebi, Aatef Hobiny, Dalal Maturi

Applied Mathematics Vol.14 No.5, May 31, 2023

DOI: 10.4236/am.2023.145021 332 Downloads 1,590 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 120 Downloads 585 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 433 Views Citations
Fractional-Order Financial System Using Efficient Numerical Methods (Articles)

Hunida Malaikah, Jawaher Faisal Al-Abdali

American Journal of Computational Mathematics Vol.15 No.1, March 31, 2025

DOI: 10.4236/ajcm.2025.151004 187 Downloads 820 Views Citations
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 4,181 Downloads 7,299 Views Citations
Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator (Articles)

Taher A. Nofal, Gamal M. Ismail, Sayed Abdel-Khalek

Journal of Modern Physics Vol.4 No.11, November 22, 2013

DOI: 10.4236/jmp.2013.411179 4,197 Downloads 6,557 Views Citations
Numerical Solutions for Quadratic Integro-Differential Equations of Fractional Orders (Articles)

Fatheah Alhendi, Wafa Shammakh, Hind Al-Badrani

Open Journal of Applied Sciences Vol.7 No.4, April 30, 2017

DOI: 10.4236/ojapps.2017.74014 1,985 Downloads 4,415 Views Citations
Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs (Articles)

Mohamed Adel, Mohamed M. Khader

Applied Mathematics Vol.8 No.12, December 14, 2017

DOI: 10.4236/am.2017.812126 1,120 Downloads 2,684 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 1,171 Downloads 2,542 Views Citations

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