| 书目名称 | Time-Fractional Differential Equations |
| 副标题 | A Theoretical Introd |
| 编辑 | Adam Kubica,Katarzyna Ryszewska,Masahiro Yamamoto |
| 视频video | |
| 概述 | Fills a gap found in existing monographs regarding feasible operator-theoretic foundations for wider applications.Provides a background of time-fractional derivatives from the viewpoint of the operato |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | .This book aims to establish a foundation for fractional derivatives and fractional differential equations. The theory of fractional derivatives enables considering any positive order of differentiation. The history of research in this field is very long, with its origins dating back to Leibniz. Since then, many great mathematicians, such as Abel, have made contributions that cover not only theoretical aspects but also physical applications of fractional calculus. ..The fractional partial differential equations govern phenomena depending both on spatial and time variables and require more subtle treatments. Moreover, fractional partial differential equations are highly demanded model equations for solving real-world problems such as the anomalous diffusion in heterogeneous media...The studies of fractional partial differential equations have continued to expand explosively. However we observe that available mathematical theory for fractional partial differential equations is not still complete. In particular, operator-theoretical approaches are indispensable for some generalized categories of solutions such as weak solutions, but feasible operator-theoretic foundations for wide app |
| 出版日期 | Book 2020 |
| 关键词 | time fractional derivative; initial-boundary value problem; weak solution asymptotic behavior; fraction |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-15-9066-5 |
| isbn_softcover | 978-981-15-9065-8 |
| isbn_ebook | 978-981-15-9066-5Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd. 2020 |
发表于 2025-3-21 16:59:33
