On the Stability of Duffing Type Fractional Differential Equation with Cubic Nonlinearity - Open Access Library Journal

OALibJ > Vol.7 No.5, May 2020

Open Access Library Journal

Volume 7, Issue 5 (May 2020)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 0.73 Citations

On the Stability of Duffing Type Fractional Differential Equation with Cubic Nonlinearity ()

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DOI: 10.4236/oalib.1106184 369 Downloads 1,241 Views Citations

Author(s)

Nnaji Daniel Ugochukwu¹, Makuochukwu Felix Oguagbaka^1*, Ezenwobodo Somkene Samuel², Nnaemeka Stanley Aguegboh³, Onyiaji Netochukwu Ebube¹

Affiliation(s)

¹Department of Mathematics, University of Nigeria, Nsukka, Nigeria.
²Department of Mathematics, Nwafor Orizu College of Education, Nsugbe, Nigeria.
³Department of Mathematics, Veritas University, Abuja, Nigeria.

ABSTRACT

The purpose of this paper is to study the stability of nonlinear fractional Duffing equation where , by analysing the eigenvalues generated from the system of the given differential equation. Graphical results furthermore show the effect of the damping and nonlinear parameter on the system. Our contribution relies on its application to the choice of hard/soft spring in the mechanism of shock absorbers.

KEYWORDS

Duffing Equation, Eigenvalues, Fractional Derivative, Hard Spring, Jacobian Matrix, Soft Spring, Stability

Share and Cite:

Ugochukwu, N. , Oguagbaka, M. , Samuel, E. , Aguegboh, N. and Ebube, O. (2020) On the Stability of Duffing Type Fractional Differential Equation with Cubic Nonlinearity. Open Access Library Journal, 7, 1-14. doi: 10.4236/oalib.1106184.

Cited by

[1]	Implicit Finite-Difference Scheme for a Duffing Oscillator with a Derivative of Variable Fractional Order of the Riemann-Liouville Type
	Mathematics, 2023

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