Set-Valued $$\alpha $$-Fractal Functions

In this paper, we introduce the concept of $$\alpha $$ -fractal function and fractal approximation for a set-valued continuous map defined on closed bounded interval real numbers. Also, study some properties such functions. Further, estimate perturbation error between given its function. Additionally, define new graph different from standard introduced in literature establish bounds dimension newly special classes explain need to with examples. sequel, prove that an is attractor iterated system.