Time-fractional differential equations (Record no. 567332)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02475 a2200289 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250127125124.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250120b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789811590658 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.83 |
| Item number | K951t |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kubica, Adam |
| 245 ## - TITLE STATEMENT | |
| Title | Time-fractional differential equations |
| Remainder of title | a theoretical introduction |
| Statement of responsibility, etc | Adam Kubica, Katarzyna Ryszewska and Masahiro Yamamoto |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Springer |
| Year of publication | 2020 |
| Place of publication | Singapore |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | x, 134p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Springer Briefs in mathematics |
| 490 ## - SERIES STATEMENT | |
| Series statement | / edited by Nicola Bellomo ...[et al.] |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 applications are not available in monographs. To make this monograph more readable, we are restricting it to a few fundamental types of time-fractional partial differential equations, forgoing many other important and exciting topics such as stability for nonlinear problems. However, we believe that this book works well as an introduction to mathematical research in such vast fields. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential equations, Partial |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Fractional differential equations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Functions of real variables |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Integral equations |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ryszewska, Katarzyna |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Yamamoto, Masahiro |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Permanent Location | Current Location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 2025-02-03 | 60 | 4422.89 | 515.83 K951t | A186663 | 5897.19 | Books |