A Yamazaki-type estimate to a space-time fractional diffusion equation
In this work, we develop the Yamazaki inequality and estimates of the Mittag-Leffler family associated with the space-time fractional diffusion equation in 𝐿𝑝-weak spaces. This result generalizes the inequality given by Yamazaki (2000) for the heat semigroup, which was generalized by Ferreira and V...
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| Format: | Article |
| Language: | Portuguese |
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UNESP
2022-09-01
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| Series: | CQD Revista Eletrônica Paulista de Matemática |
| Subjects: | |
| Online Access: | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/312 |
| _version_ | 1797696031392006144 |
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| author | Maria Elismara de Sousa Lima Edmundo Capelas de Oliveira Arlúcio da Cruz Viana |
| author_facet | Maria Elismara de Sousa Lima Edmundo Capelas de Oliveira Arlúcio da Cruz Viana |
| author_sort | Maria Elismara de Sousa Lima |
| collection | DOAJ |
| description |
In this work, we develop the Yamazaki inequality and estimates of the Mittag-Leffler family associated with the space-time fractional diffusion equation in 𝐿𝑝-weak spaces. This result generalizes the inequality given by Yamazaki (2000) for the heat semigroup, which was generalized by Ferreira and VillamizarRoa (2006) for heat semigroup associated with the fractional Laplacian, and Caicedo et al (2021) for the Mittag-Leffler family associated with the time-fractional diffusion equation.
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| first_indexed | 2024-03-12T03:20:43Z |
| format | Article |
| id | doaj.art-0c6e7fa1b27c4ee88fb8c377f51c13f9 |
| institution | Directory Open Access Journal |
| issn | 2316-9664 |
| language | Portuguese |
| last_indexed | 2024-03-12T03:20:43Z |
| publishDate | 2022-09-01 |
| publisher | UNESP |
| record_format | Article |
| series | CQD Revista Eletrônica Paulista de Matemática |
| spelling | doaj.art-0c6e7fa1b27c4ee88fb8c377f51c13f92023-09-03T13:58:06ZporUNESPCQD Revista Eletrônica Paulista de Matemática2316-96642022-09-01222A Yamazaki-type estimate to a space-time fractional diffusion equationMaria Elismara de Sousa Lima0Edmundo Capelas de Oliveira1Arlúcio da Cruz Viana2Imecc - Universidade Estadual de Campinas Imecc - Universidade Estadual de Campinas Universidade Federal de Sergipe In this work, we develop the Yamazaki inequality and estimates of the Mittag-Leffler family associated with the space-time fractional diffusion equation in 𝐿𝑝-weak spaces. This result generalizes the inequality given by Yamazaki (2000) for the heat semigroup, which was generalized by Ferreira and VillamizarRoa (2006) for heat semigroup associated with the fractional Laplacian, and Caicedo et al (2021) for the Mittag-Leffler family associated with the time-fractional diffusion equation. https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/312Yamazaki-type estimatefractional diffusion equationMittag-Leffler familydecay in 𝐿𝑝 spaces. |
| spellingShingle | Maria Elismara de Sousa Lima Edmundo Capelas de Oliveira Arlúcio da Cruz Viana A Yamazaki-type estimate to a space-time fractional diffusion equation CQD Revista Eletrônica Paulista de Matemática Yamazaki-type estimate fractional diffusion equation Mittag-Leffler family decay in 𝐿𝑝 spaces. |
| title | A Yamazaki-type estimate to a space-time fractional diffusion equation |
| title_full | A Yamazaki-type estimate to a space-time fractional diffusion equation |
| title_fullStr | A Yamazaki-type estimate to a space-time fractional diffusion equation |
| title_full_unstemmed | A Yamazaki-type estimate to a space-time fractional diffusion equation |
| title_short | A Yamazaki-type estimate to a space-time fractional diffusion equation |
| title_sort | yamazaki type estimate to a space time fractional diffusion equation |
| topic | Yamazaki-type estimate fractional diffusion equation Mittag-Leffler family decay in 𝐿𝑝 spaces. |
| url | https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/312 |
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