Fractional integral approach on nonlinear fractal function and its application

The shape and dimension of the fractal function have been significantly influenced by the scaling factor. This paper investigatedthe fractional integral of the nonlinear fractal interpolation function corresponding to the iterated function systems employed by Rakotchcontraction. We demonstrated how the scaling factors affect the flexibility of fractal functions and their different fractional orders of theRiemann fractional integral using certain numerical examples. The potentiality application of Rakotch contraction of fractal functiontheory was elucidated based on a comparative analysis of the irregularity relaxation process. Moreover, a reconstitution of epidemic curves from the perspective of a nonlinear fractal interpolation function was presented, and a comparison between the graphs of linear and nonlinear fractal functions was discussed.