Discrete chaos in fractional sine and standard maps

• Fractional standard and sine maps are proposed by using the discrete fractional calculus.
• The chaos behaviors are numerically discussed for various orders of difference operators.
• The bifurcation diagrams and the phase portraits are presented, respectively.

Fractional standard and sine maps are proposed by using the discrete fractional calculus. The chaos behaviors are then numerically discussed when the difference order is a fractional one. The bifurcation diagrams and the phase portraits are presented, respectively.