Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still images, animations, and media. Fractal art is usually created indirectly with the assistance of fractal-generating software like  Ultra fractal ” www.ultrafractal.com” .You can design a simple fractal by Photoshop or illustrator.
I hope this post to be useful for you and inspire source to anyone like  learning this art.
you can watch a lot of examples of fractal art in this link

Treasure in 3D

Stripes

Steaming Jungle Bots

Stairs of infinity

Spotlight

Spirals Of Time

Sound of a Cricket Dance

Sol Invictus

Quanta fields

Passages

Once Upon A Time When

Millason Valley

Mexican Flu

Ili Dozhd’ po Glazam

First Snow

Love Hearts

chaos and HOPE

Fruicy

Box of Spiders

Oriental Design

Between the seasons

Bamboozled

Attire par la lumiere

Arvahn City by Google Maps

Altarian Badlands

Tree of gems

Sheherazade

197 – Intuitive Matter

84 Challenge

Forest Secrets II

-silverae-

Trapestry+ Flower

Summer Gold

Colour Adjustment

Phoenix on fire

Pekmez, Priroda i Jos Svasta