Event-triggered impulsive controller design for synchronization of delayed chaotic neural networks and its fractal reconstruction: an application to image encryption

SS Mohanrasu, K Udhayakumar, TMC Priyanka… - Applied Mathematical …, 2023 - Elsevier
This paper examines synchronization of delayed chaotic neural networks with impulsive
control, event-triggered impulsive control, and event-triggered delayed impulsive control …

Non-Stationary -Fractal Surfaces

MA Navascués, S Verma - Mediterranean Journal of Mathematics, 2023 - Springer
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 …

Analysis of mixed Weyl–Marchaud fractional derivative and box dimensions

S Chandra, S Abbas - Fractals, 2021 - World Scientific
The calculus of the mixed Weyl–Marchaud fractional derivative has been investigated in this
paper. We prove that the mixed Weyl–Marchaud fractional derivative of bivariate fractal …

Fractal surfaces in Lebesgue spaces with respect to fractal measures and associated fractal operators

R Lal, S Chandra, A Prajapati - Chaos, Solitons & Fractals, 2024 - Elsevier
The goal of this article is to study the fractal surfaces and associated fractal operator on
Lebesgue spaces with respect to fractal measures. First, we show that fractal surfaces …

Smoothness analysis and approximation aspects of non-stationary bivariate fractal functions

S Verma, S Jha, MA Navascués - Chaos, Solitons & Fractals, 2023 - Elsevier
The present note aims to establish the notion of non-stationary bivariate α-fractal functions
and discusses some of their approximation properties. We see that using a sequence of …

Weyl–Marchaud fractional derivative of a vector valued fractal interpolation function with function contractivity factors

TMC Priyanka, A Agathiyan, A Gowrisankar - The Journal of Analysis, 2023 - Springer
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 …

On bivariate fractal approximation

V Agrawal, T Som, S Verma - The Journal of Analysis, 2022 - Springer
In this paper, the notion of dimension preserving approximation for real-valued bivariate
continuous functions, defined on a rectangular domain, has been introduced and several …

A note on stability and fractal dimension of bivariate α-fractal functions

V Agrawal, T Som, S Verma - Numerical Algorithms, 2023 - Springer
A note on stability and fractal dimension of bivariate α-fractal functions | Numerical Algorithms
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Set-Valued -Fractal Functions

M Pandey, T Som, S Verma - Constructive Approximation, 2024 - Springer
In this paper, we introduce the concept of the α-fractal function and fractal approximation for
a set-valued continuous map defined on a closed and bounded interval of real numbers …

FRACTAL DIMENSION OF MULTIVARIATE -FRACTAL FUNCTIONS AND APPROXIMATION ASPECTS

M Pandey, V Agrawal, T Som - Fractals, 2022 - World Scientific
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 …