Based on a widely used class of iterated function systems (IFSs), a class of IFSs with
variable parameters is introduced, which generates the fractal interpolation functions (FIFs) …

This paper investigates the classical integral of various types of fractal interpolation functions
namely linear fractal interpolation function, α-fractal function and hidden variable fractal …

In this paper, the Weyl–Marchaud fractional derivative of various fractal interpolation
functions (FIFs) like linear FIF, quadratic FIF, hidden variable FIF and α-FIF is investigated …

This paper proposes novel algorithms that use network-flow and set-cover techniques to
perform occlusion reasoning for a large number of small, moving objects in single or multiple …

In this paper, we aim to construct fractal interpolation functions (FIFs) on the product of two
Sierpiński gaskets. Further, we collect some results regarding smoothness of the constructed …

The box dimension of the graph of non-affine α-fractal interpolation function f α with variable
scaling factors is estimated in the interval [0, 1]. Due to the non-affinity of f α, the behavior of …

This article explores the idea of Weyl–Marchaud fractional derivative on the vector-valued
fractal interpolation function with function contractivity factors. Initially, the Weyl–Marchaud …

The box dimension of the graph of non-affine, continuous, nowhere differentiable function f α
which is a fractal analogue of a continuous function f corresponding to a certain iterated …

Let a data set Δ={(ti, yi)∈ R× Y: i= 0, 1,⋯, N} be given, where t 0< t 1< t 2<⋯< t N and Y is a
complete metric space. In this article, fractal interpolation functions (FIFs) on I=[t 0, t N] …

Reliable data have always played a vital role in time series analysis and research.
Nevertheless, missing data, which can bias the original properties of the time series if the …