http://dspace.bsu.edu.ru/handle/123456789/64281| Title: | Fractional calculus for non-discrete signed measures |
| Authors: | Kolokoltsov, V. N. Shishkina, E. |
| Keywords: | mathematics mathematical analysis fractional calculus fractional integral fractional power first-order partial differential operator quantum mechanic |
| Issue Date: | 2024 |
| Citation: | Kolokoltsov, V.N. Fractional calculus for non-discrete signed measures / V.N. Kolokoltsov, E. Shishkina // Mathematics. - 2024. - Vol.12.-Art. 2804. - Doi: 10.3390/math12182804. - URL: https://www.mdpi.com/2227-7390/12/18/2804. |
| Abstract: | In this paper, we suggest a first-ever construction of fractional integral and differential operators based on signed measures including a vector-valued case. The study focuses on constructing the fractional power of the Riemann-Stieltjes integral with a signed measure, using semigroup theory |
| URI: | http://dspace.bsu.edu.ru/handle/123456789/64281 |
| Appears in Collections: | Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages) |
| File | Description | Size | Format | |
|---|---|---|---|---|
| Shishkina_Fractional_24.pdf | 314.78 kB | Adobe PDF | View/Open |
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