Numerical approximation and analysis of epidemic model with constant proportional Caputo operator

C Xu, M Farman, Z Liu, Y Pang - Fractals, 2024 - World Scientific
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 …

Analysis of fractal dimension of mixed Riemann-Liouville integral

S Chandra, S Abbas - Numerical Algorithms, 2022 - Springer
In this article, we provide a rigorous study on the fractal dimension of the graph of the mixed
Riemann-Liouville fractional integral for various choices of continuous functions on a …

Fractal dimension variation of continuous functions under certain operations

B Yu, Y Liang - Fractals, 2023 - World Scientific
In this paper, we make research on the fractal structure of the space of continuous functions
and explore how the fractal dimension of continuous functions under certain operations …

On two special classes of fractal surfaces with certain Hausdorff and Box dimensions

B Yu, Y Liang - Applied Mathematics and Computation, 2024 - Elsevier
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 …

The calculus of bivariate fractal interpolation surfaces

S Chandra, S Abbas - Fractals, 2021 - World Scientific
In this paper, we investigate partial integrals and partial derivatives of bivariate fractal
interpolation functions (FIFs). We also prove that the mixed Riemann–Liouville fractional …

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 …

[PDF][PDF] Construction of monotonous approximation by fractal interpolation functions and fractal dimensions

BY Yu, YS Liang - Fractals, 2023 - researchgate.net
In this paper, we research on the dimension preserving monotonous approximation by using
fractal interpolation techniques. A constructive result of the approximating sequence of …

[PDF][PDF] A new fractal-fractional hybrid model for studying climate change on coastal ecosystems from the mathematical point of view

H Khan, M Aslam, AH Rajpar, YM Chu, S Etemad… - Fractals, 2024 - researchgate.net
Rapid emissions of green-house gases (GHGs) are causing global warming, which is
wreaking havoc on the earth's climate system. As a result, the coastal ecosystems of the …

Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions

S Chandra, S Abbas - Fractional Calculus and Applied Analysis, 2022 - Springer
The goal of this article is to study the box dimension of the mixed Katugampola fractional
integral of two-dimensional continuous functions on [0, 1]×[0, 1]. We prove that the box …

[PDF][PDF] A mathematical model for Nipah virus disease by using piecewise fractional order Caputo derivative

K Shah, A Khan, B Abdalla, T Abdeljawad, KA Khan - Fractals, 2024 - researchgate.net
In the Caputo sense, the goal of this publication is to develop a thorough analysis for the
Nipah virus sickness under piecewise equations with fractional order derivative. Here, we …