The present endeavor investigates an area concerning interpolative operators to approach
attractors, particularly fractals; ergo, an interpolative iterated operator system (I δ-IOS) is …

This chapter aims to establish the notion of non-stationary-fractal operator and establish
some approximations and convergence properties. More specifically, the approximations …

Propagation of small-amplitude quantum ion-acoustic waves and its fractal representations
is investigated in an electron-ion quantum plasma with separated spin electrons in the …

Following the seminal work of Barnsley on fractal interpolation, Navascués (2005) defined a
class of parametrized continuous functions called α-fractal functions. In this paper, we …

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In this study we provide several significant generalisations of Banach contraction principle
where the Lipschitz constant is substituted by real-valued control function that is a …

In this paper, we explore the concept of dimension preserving approximation of continuous
multivariate functions defined on the domain [0, 1] q (=[0, 1]×⋯×[0, 1](q-times) where q is a …

Nonlinear small-amplitude electron-acoustic wave features and their fractal representations
are explored in the Earth's auroral zone plasma having cold fluid electrons, hot (r, q) …

In this paper, we prove the existence of the bivariate fractal interpolation function using the
Rakotch contraction theory and iterated function system for a countable data set. We also …

The fractal technique is applied to study a wide variety of phenomena in the universe. In
particular, fractal techniques can be generalized through traditional approaches to spatial …