This paper pertains to the area of shape preservation and sets a theoretical foundation for
the applications of preserving constrained nature of a given constraining data in fractal …

This special issue of the European Physical Journal Special Topics titled “Frontiers of
Fractals for Complex Systems: Recent Advances and Future Challenges” is a collection of …

Fractal interpolation functions capture the irregularity of some data very effectively in
comparison with the classical interpolants. They yield a new technique for fitting …

The appearance of fractal interpolation function represents a revival of experimental
mathematics, raised by computers and intensified by powerful evidence of its applications …

This paper addresses a method to obtain rational cubic fractal functions, which generate
surfaces that lie above a plane via blending functions. In particular, the constrained bivariate …

In this paper, the Riemann–Liouville fractional integral of an A‐fractal function is explored by
taking its vertical scaling factors in the block matrix as continuous functions from [0, 1] to ℝ …

In this paper, the integral of classical fractal interpolation function (FIF) and A-fractal function
is explored for both the cases of constant and variable scaling factors. The definite integral …

Coalescence hidden variable fractal interpolation function (CHFIF) proves more versatile
than classical interpolant and fractal interpolation function (FIF). Using rational functions and …

This paper sets a theoretical foundation for applications of fractal interpolation functions
(FIFs). We construct rational cubic spline FIFs (RCSFIFs) with a quadratic denominator …

This paper investigates some univariate and bivariate constrained interpolation problems
using rational quartic fractal interpolation functions, which has been submitted long back in a …