Attractors of Caputo Fractional Differential Equations
This book focuses on dissipative Caputo fractional differential equations (FDEs) with an autonomous vector field. The introduction of Caputo FDEs in the 1960s allowed initial value problems to be handled more naturally and the asymptotic behaviour of models based on them to be investigated by resear...
Wedi'i Gadw mewn:
| Prif Awduron: | , , |
|---|---|
| Awdur Corfforaethol: | |
| Fformat: | Electronig eLyfr |
| Iaith: | Saesneg |
| Cyhoeddwyd: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Rhifyn: | 1st ed. 2025. |
| Cyfres: | SpringerBriefs in Mathematics,
|
| Pynciau: | |
| Mynediad Ar-lein: | https://doi.org/10.1007/978-3-032-05511-8 |
| Tagiau: |
Ychwanegu Tag
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-032-05511-8 | ||
| 003 | DE-He213 | ||
| 005 | 20260906080001.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 260102s2025 sz | o |||| 0|eng d | ||
| 020 | |a 9783032055118 |9 978-3-032-05511-8 | ||
| 024 | 7 | |a 10.1007/978-3-032-05511-8 |2 doi | |
| 050 | 4 | |a QA370-380 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Doan, Thai Son. |e author. |0 (orcid)0000-0002-9871-740X |1 https://orcid.org/0000-0002-9871-740X |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Attractors of Caputo Fractional Differential Equations |h [electronic resource] / |c by Thai Son Doan, Peter E. Kloeden, Hoang The Tuan. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XI, 140 p. 3 illus.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b PDF/UA-1 |2 onix | |
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a SpringerBriefs in Mathematics, |x 2191-8201 | |
| 505 | 0 | |a Preface -- Introduction -- Useful Inequalities -- Existence and Uniqueness of Solutions -- Linear Systems of Caputo FDEs -- Asymptotic Stability and instability -- Lyapunov Functions -- Non-Intersecting Solutions -- Caputo Dynamical Systems -- Dissipative Caputo FDEs -- Attractors of Scalar Caputo FDEs -- Attractors of Caputo Semi-Groups -- References. | |
| 520 | |a This book focuses on dissipative Caputo fractional differential equations (FDEs) with an autonomous vector field. The introduction of Caputo FDEs in the 1960s allowed initial value problems to be handled more naturally and the asymptotic behaviour of models based on them to be investigated by researchers. More recently, mathematically defined dynamical systems generated by Caputo FDEs and their attractors have been introduced. Dissipative Caputo FDEs have vector fields which satisfy a dissipativity property. For ordinary differential equations (ODEs) it follows from such a property that an absorbing set exists which contains all the long-term dynamical behaviour of the system such as the existence of an attractor. The situation is more complicated for Caputo FDEs, since these are essentially integral equations, and the dissipative inequalities cannot be so easily exploited. Moreover, such integral equations are essentially nonautonomous due to the form of the kernel in the integral equations, even when the vector field is “autonomous,” i.e., does not depend explicitly on time. The book is based on recent results of the three coauthors in various combinations with each other and with their other coauthors, in particular Nguyen Dinh Cong and Hieu Trinh. The main aim is to develop and present a theory of dynamical systems and their attractors for Caputo FDEs. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Dynamical systems. | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Dynamical Systems. |
| 700 | 1 | |a Kloeden, Peter E. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Tuan, Hoang The. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783032055101 |
| 776 | 0 | 8 | |i Printed edition: |z 9783032055125 |
| 830 | 0 | |a SpringerBriefs in Mathematics, |x 2191-8201 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-032-05511-8 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-251 | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||
| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||