Fractional Riccati Expansion Method - Articles - Scientific Research Publishing

The Traveling Wave Solutions of Space-Time Fractional Differential Equation Using Fractional Riccati Expansion Method (Articles)

Xiaohua Liu

Journal of Applied Mathematics and Physics Vol.6 No.10，October 10, 2018

DOI: 10.4236/jamp.2018.610167 919 Downloads 2,012 Views Citations
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method (Articles)

Muhammad Younis, Asim Zafar

Applied Mathematics Vol.5 No.1，December 25, 2013

DOI: 10.4236/am.2014.51001 9,223 Downloads 21,024 Views Citations
An Integral Collocation Approach Based on Legendre Polynomials for Solving Riccati, Logistic and Delay Differential Equations (Articles)

M. M. Khader, A. M. S. Mahdy, M. M. Shehata

Applied Mathematics Vol.5 No.15，August 19, 2014

DOI: 10.4236/am.2014.515228 6,341 Downloads 7,623 Views Citations
Optimality of the Evolution of the Universe, the Big Bang Model (Articles)

Valentin V. Mdzinarishvili

Open Access Library Journal Vol.10 No.3，March 31, 2023

DOI: 10.4236/oalib.1109824 53 Downloads 357 Views Citations
Variational Homotopy Perturbation Method for Solving Riccati Type Differential Problems (Articles)

Bothayna S. Kashkari, Sharefah Saleh

Applied Mathematics Vol.8 No.7，July 4, 2017

DOI: 10.4236/am.2017.87070 1,429 Downloads 2,950 Views Citations
Semilinear Fractional Elliptic Equation of Normal Solution (Articles)

Tao Li

Open Access Library Journal Vol.11 No.4，March 29, 2024

DOI: 10.4236/oalib.1111412 24 Downloads 196 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 3,219 Downloads 5,557 Views Citations
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 6,563 Downloads 11,763 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 7,250 Downloads 15,093 Views Citations
Second Kind Shifted Chebyshev Polynomials for Solving the Model Nonlinear ODEs (Articles)

Amr M. S. Mahdy, N. A. H. Mukhtar

American Journal of Computational Mathematics Vol.7 No.4，October 26, 2017

DOI: 10.4236/ajcm.2017.74028 1,465 Downloads 3,659 Views Citations
Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method (Articles)

Rubayyi T. Alqahtani

Applied Mathematics Vol.6 No.13，November 30, 2015

DOI: 10.4236/am.2015.613190 2,525 Downloads 3,584 Views Citations
This article belongs to the Special Issue on Fractional Calculus
Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control (Articles)

Zhanhong Liang, Jinfeng Gao

Int'l J. of Modern Nonlinear Theory and Application Vol.5 No.3，September 27, 2016

DOI: 10.4236/ijmnta.2016.53013 1,657 Downloads 2,830 Views Citations
The Adomian Decomposition Method for a Type of Fractional Differential Equations (Articles)

Peng Guo

Journal of Applied Mathematics and Physics Vol.7 No.10，October 24, 2019

DOI: 10.4236/jamp.2019.710166 1,162 Downloads 3,864 Views Citations
A Fractional Model for the Single Stokes Pulse from the Nonlinear Optics (Articles)

Mihai Ivan

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

DOI: 10.4236/jamp.2022.1010191 110 Downloads 509 Views Citations
This article belongs to the Special Issue on Geometry and Physics
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 1,151 Downloads 2,673 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 5,079 Downloads 6,584 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Approximate Technique for Solving Class of Fractional Variational Problems (Articles)

Emad M. Solouma, Mohamed M. Khader

Applied Mathematics Vol.6 No.5，May 19, 2015

DOI: 10.4236/am.2015.65078 3,789 Downloads 4,896 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 2,045 Downloads 3,855 Views Citations
Numerical Solution of Fractional Differential Equations (Articles)

Adnan Daraghmeh, Naji Qatanani, Aya Saadeh

Applied Mathematics Vol.11 No.11，November 13, 2020

DOI: 10.4236/am.2020.1111074 1,885 Downloads 8,400 Views Citations
Extended Generalized Riccati Equation Mapping for Thermal Traveling-Wave Distribution in Biological Tissues through a Bio-Heat Transfer Model with Linear/Quadratic Temperature-Dependent Blood Perfusion (Articles)

Emmanuel Kengne, Fathi Ben Hamouda, Ahmed Lakhssassi

Applied Mathematics Vol.4 No.10，October 29, 2013

DOI: 10.4236/am.2013.410199 5,586 Downloads 7,790 Views Citations

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