<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The article first uses the fractional derivative to define a new fractional bounded variation function space. This method constructs the corresponding electronic information image model denoising mask by setting a smaller fractional integration order. The experimental results show that the image denoising algorithm based on fractional integration can not only improve the signal-to-noise ratio of the image compared with the traditional denoising method, but also can better retain the details of the edge and texture of the electronic information image.</p>
</abstract>

The article first uses the fractional derivative to define a new fractional bounded variation function space. This method constructs the corresponding electronic information image model denoising mask by setting a smaller fractional integration order. The experimental results show that the image denoising algorithm based on fractional integration can not only improve the signal-to-noise ratio of the image compared with the traditional denoising method, but also can better retain the details of the edge and texture of the electronic information image.

Fractional Differential Equations in Electronic Information Models

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Fractional Differential Equations in Electronic Information Models"}

The article first uses the fractional derivative to define a new fractional bounded variation function space. This method constructs the corresponding...

Fractional Differential Equations in Electronic Information Models

Data publikacji: 11 cze 2023

Zakres stron: 309 - 318

Otrzymano: 16 sty 2022

Przyjęty: 24 mar 2022

DOI: https://doi.org/10.2478/amns.2022.2.00020

Słowa kluczowe
fractional differential equation, Electronic information model, Image denoising

© 2023 Junli Lei et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

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Fractional Differential Equations in Electronic Information Models

Data publikacji: 11 cze 2023

Zakres stron: 309 - 318

Otrzymano: 16 sty 2022

Przyjęty: 24 mar 2022

DOI: https://doi.org/10.2478/amns.2022.2.00020

Słowa kluczowefractional differential equation, Electronic information model, Image denoising

© 2023 Junli Lei et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Figure 1

Figure 2

Figure 3

Słowa kluczowe
fractional differential equation, Electronic information model, Image denoising