In this article, a significant stochastic Nizhnik–Novikov–Veselov (SNNV) system with
truncated M-fractional derivative (TMD) is investigated. This mathematical model is …

In this paper, we mainly make research on the approximation of continuous functions in the
view of the fractal structure based on previous studies. Initially, fractal dimensions and the …

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 …

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 …

There are many research available on the study of a real-valued fractal interpolation function
and fractal dimension of its graph. In this paper, our main focus is to study the dimensional …

We introduce a fractal operator on C [0, 1] which sends a function f∈ C (I) to fractal version
of f where fractal version of f is a super fractal interpolation function corresponding to a …

In this paper, using two special types of rise-dimensional operators based on existing fractal
functions, we construct new fractal surfaces with any value of the Hausdorff and Box …

In this article, we construct the fractal interpolation functions (FIFs) on the Sierpiński gasket
(SG) by taking data set at the n th level. We discuss the oscillation space, L q space and …

In this paper, we research on the dimension preserving monotonous approximation by using
fractal interpolation techniques. A constructive result of the approximating sequence of …