THE EXISTENCE OF GLOBAL ATTRACTIVE SOLUTIONS FOR A CLASS OF TEMPERED FRACTIONAL DIFFUSION EQUATIONS

Siyi Zhang

doi:10.11948/20240486

2025 Volume 15 Issue 5

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Siyi Zhang. THE EXISTENCE OF GLOBAL ATTRACTIVE SOLUTIONS FOR A CLASS OF TEMPERED FRACTIONAL DIFFUSION EQUATIONS[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 2714-2725. doi: 10.11948/20240486

Citation:

Siyi Zhang. THE EXISTENCE OF GLOBAL ATTRACTIVE SOLUTIONS FOR A CLASS OF TEMPERED FRACTIONAL DIFFUSION EQUATIONS[J]. Journal of Applied Analysis & Computation, 2025, 15(5): 2714-2725. doi: 10.11948/20240486

THE EXISTENCE OF GLOBAL ATTRACTIVE SOLUTIONS FOR A CLASS OF TEMPERED FRACTIONAL DIFFUSION EQUATIONS

Siyi Zhang^1, ,

1.
Faculty of Science, Hunan College for Preschool Education, 415000 Hunan, China

Corresponding author: Email: syzhangmath@163.com(S. Zhang)

Abstract

Abstract

This paper is devoted to the existence and attractiveness of solutions for a class of fractional diffusion equations with slow growth characteristics. The existence of global attractive solutions for this equation is established by the generalized Ascoli-Arzelà theorem. Our results reveal some characteristics of the solutions of the fractional diffusion equations with tempered fractional derivative, and extend the relevant results in existing literature.
- Tempered fractional derivative /
- existence /
- attractiveness
MSC: 26A33, 35R11

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References

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