Nonlinear Fractional Differential Equation - Articles

A Study of Some Nonlinear Partial Differential Equations by Using Adomian Decomposition Method and Variational Iteration Method (Articles)

Maha S. M. Shehata

American Journal of Computational Mathematics Vol.5 No.2，June 26, 2015

DOI: 10.4236/ajcm.2015.52016 5,848 Downloads 7,919 Views Citations
Anisotropic Geodesic Fluid in Non-Comoving Spherical Coordinates (Articles)

Peter Christian Stichel

Journal of Modern Physics Vol.9 No.2，January 22, 2018

DOI: 10.4236/jmp.2018.92014 669 Downloads 1,296 Views Citations
Quintic B-Spline Method for Solving Sharma Tasso Oliver Equation (Articles)

Talaat S. Eldanaf, Mohamed Elsayed, Mahmoud A. Eissa, Faisal Ezz-Eldeen Abd Alaal

Journal of Applied Mathematics and Physics Vol.10 No.12，December 30, 2022

DOI: 10.4236/jamp.2022.1012258 211 Downloads 1,153 Views Citations
Control Chaos in System with Fractional Order (Articles)

Yamin Wang, Xiaozhou Yin, Yong Liu

Journal of Modern Physics Vol.3 No.6，June 25, 2012

DOI: 10.4236/jmp.2012.36067 5,451 Downloads 9,569 Views Citations
History of Krylov-Bogoliubov-Mitropolsky Methods of Nonlinear Oscillations (Articles)

Agamenon R. E. Oliveira

Advances in Historical Studies Vol.6 No.1，March 21, 2017

DOI: 10.4236/ahs.2017.61003 2,511 Downloads 4,958 Views Citations
Existence and Uniqueness of Solution to Two-Point Boundary Value for Two-Sided Fractional Differential Equations (Articles)

Ailing Shi, Yu Bai

Applied Mathematics Vol.4 No.6，June 14, 2013

DOI: 10.4236/am.2013.46127 5,230 Downloads 7,857 Views Citations
Discussion on the Homology Theory of Lie Algebras (Articles)

Lilong Kang, Yu Wang, Caiyu Du

Journal of Applied Mathematics and Physics Vol.12 No.7，July 12, 2024

DOI: 10.4236/jamp.2024.127141 100 Downloads 396 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 6,636 Downloads 11,922 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 7,313 Downloads 15,239 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 107 Downloads 693 Views Citations
Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation (Articles)

Yufeng Sun, Zheng Zeng, Jie Song

Applied Mathematics Vol.8 No.3，March 24, 2017

DOI: 10.4236/am.2017.83026 2,311 Downloads 5,515 Views Citations
Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method (Articles)

Ömür Umut, Serpil Yaşar

Int'l J. of Modern Nonlinear Theory and Application Vol.8 No.1，February 1, 2019

DOI: 10.4236/ijmnta.2019.81002 1,783 Downloads 3,963 Views Citations
Mean Square Solutions of Second-Order Random Differential Equations by Using the Differential Transformation Method (Articles)

Ayad R. Khudair, S. A. M. Haddad, Sanaa L. Khalaf

Open Journal of Applied Sciences Vol.6 No.4，April 28, 2016

DOI: 10.4236/ojapps.2016.64028 2,619 Downloads 3,985 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 2,559 Downloads 3,685 Views Citations
This article belongs to the Special Issue on Fractional Calculus
An Inequality for Second Order Differential Equation with Retarded Argument (Articles)

Erdoğan Şen

Advances in Pure Mathematics Vol.1 No.4，July 28, 2011

DOI: 10.4236/apm.2011.14043 5,352 Downloads 11,023 Views Citations
A Closed Form Solution to a Special Normal Form of Riccati Equation (Articles)

Haiduke Sarafian

Advances in Pure Mathematics Vol.1 No.5，September 21, 2011

DOI: 10.4236/apm.2011.15053 4,528 Downloads 9,337 Views Citations
A Control Method for SVG Based on Differential Geometry Nonlinear Control (Articles)

Qiyong Pan, Jin Wu, Yi-huai Wang, Jingfei Ni, Shan Zhong

Energy and Power Engineering Vol.3 No.3，July 27, 2011

DOI: 10.4236/epe.2011.33034 5,172 Downloads 8,568 Views Citations
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials (Articles)

R. F. Al-Bar

Applied Mathematics Vol.6 No.12，November 26, 2015

DOI: 10.4236/am.2015.612184 3,164 Downloads 4,581 Views Citations
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 515 Downloads 1,336 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 5,466 Downloads 8,972 Views Citations

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