Fractional calculus and fractal functions are two interconnected areas of mathematics that explore complex behaviors in continuous functions. Fractional calculus extends traditional calculus by ...

Generalized Iterated Function Systems (GIFS) and fractal geometry are fascinating areas of mathematics that explore how simple processes can create complex structures. These systems are ...

If the values of the iterates of the function become arbitrary large (i.e., go off to 'infinity') then that point is NOT in the Julia set. If however the point does not wander off to infinity, then ...