The relationship between the order of (k, s)-Riemann-Liouville fractional integral and the fractal dimensions of a fractal function

This paper mainly investigates the relationship between the fractal dimension of the graph of the (k, s)-Riemann-Liouville fractional integral and the order of the fractional integral of the famous fractal function known as Weierstrass function. This article inspects several fractal dimensions, like box dimension, packing dimension, K-dimension of the graph of the (k, s)-Riemann-Liouville fractional integral and gives the connection between them. Our result is manifested by varying the order of fractional integral. Supporting results are derived and the related fractal dimension can be seen in the graphical representation.