In this paper, a dynamical fractional viscoelastic fluids convection model in porous media is proposed and its chaotic behavior is studied. A preformed equilibrium points analysis indicates the conditions where chaotic dynamics can be observed, and show the existence of chaos. The behavior and stability analysis of the integer-order and the fractional commensurate and non-commensurate orders of a fractional viscoelastic fluids system, which exhibits chaos, are presented as well.
|Original language||English (US)|
|Title of host publication||2015 3rd International Conference on Control, Engineering & Information Technology (CEIT)|
|Publisher||Institute of Electrical and Electronics Engineers (IEEE)|
|State||Published - Sep 3 2015|