The social life, economic issues, and health issues resulting from various diseases will be
impacted by the use of the epidemiological model to address the negative effects of drinking …

In this paper, we define non-stationary fractal interpolation surfaces on a rectangular domain
and give some upper bounds for their fractal dimension. Next, we define a fractal operator …

Based on the work of Mauldin and Williams ['On the Hausdorff dimension of some graphs',
Trans. Amer. Math. Soc. 298 (2)(1986), 793–803] on convex Lipschitz functions, we prove …

The present paper aims to introduce a new concept of a non-stationary scheme for the so
called fractal functions. Here we work with a sequence of maps for the zipper iterated …

This research article deals with the fractal interpolation function and its box dimension
corresponding to a continuous function, defined on the Sierpiński gasket. This research also …

In this paper, we show that, for any β∈[1, 2], a given strictly positive (or strictly negative) real-
valued continuous function on [0, 1] whose graph has the upper box dimension less than or …

In this paper, we obtain a vector-valued fractal interpolation function in a more general
setting by using the Rakotch fixed point theory and the iterated function system. We also …

This paper examines the integral transform of fractal interpolation functions with function
scaling factors. Initially, the integral transform of quadratic fractal interpolation function …

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 aim of this article is to study the fundamental properties of the mixed Katugampola
fractional integral (K-integral) of vector-valued functions and fractal dimensional results. We …