Topics in Fractional Differential Equations (Record no. 101474)
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fixed length control field | 04210nam a22005055i 4500 |
001 - CONTROL NUMBER | |
control field | 978-1-4614-4036-9 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20140220083249.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 120816s2012 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781461440369 |
-- | 978-1-4614-4036-9 |
024 7# - OTHER STANDARD IDENTIFIER | |
Standard number or code | 10.1007/978-1-4614-4036-9 |
Source of number or code | doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA370-380 |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | PBKJ |
Source | bicssc |
072 #7 - SUBJECT CATEGORY CODE | |
Subject category code | MAT007000 |
Source | bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 515.353 |
Edition number | 23 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Abbas, Saïd. |
Relator term | author. |
245 10 - TITLE STATEMENT | |
Title | Topics in Fractional Differential Equations |
Medium | [electronic resource] / |
Statement of responsibility, etc | by Saïd Abbas, Mouffak Benchohra, Gaston M. N'Guérékata. |
264 #1 - | |
-- | New York, NY : |
-- | Springer New York : |
-- | Imprint: Springer, |
-- | 2012. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | XIII, 396 p. |
Other physical details | online resource. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
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-- | rda |
490 1# - SERIES STATEMENT | |
Series statement | Developments in Mathematics, |
International Standard Serial Number | 1389-2177 ; |
Volume number/sequential designation | 27 |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Preface -- 1. Preliminary Background -- 2. Partial Hyperbolic Functional Differential Equations -- 3. Partial Hyperbolic Functional Differential Inclusions -- 4. Impulsive Partial Hyperbolic Functional Differential Equations -- 5. Impulsive Partial Hyperbolic Functional Differential Inclusions -- 6. Implicit Partial Hyperbolic Functional Differential Equations -- 7. Fractional Order Riemann-Liouville Integral Equations -- References -- Index. |
520 ## - SUMMARY, ETC. | |
Summary, etc | During the last decade, there has been an explosion of interest in fractional dynamics as it was found to play a fundamental role in the modeling of a considerable number of phenomena; in particular the modeling of memory-dependent and complex media. Fractional calculus generalizes integrals and derivatives to non-integer orders and has emerged as an important tool for the study of dynamical systems where classical methods reveal strong limitations. This book is addressed to a wide audience of researchers working with fractional dynamics, including mathematicians, engineers, biologists, and physicists. This timely publication may also be suitable for a graduate level seminar for students studying differential equations. Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. In this book, problems are studied using the fixed point approach, the method of upper and lower solution, and the Kuratowski measure of noncompactness. An historical introduction to fractional calculus will be of general interest to a wide range of researchers. Chapter one contains some preliminary background results. The second Chapter is devoted to fractional order partial functional differential equations. Chapter three is concerned with functional partial differential inclusions, while in the fourth chapter, we consider functional impulsive partial hyperbolic differential equations. Chapter five is concerned with impulsive partial hyperbolic functional differential inclusions. Implicit partial hyperbolic differential equations are considered in Chapter six, and finally in Chapter seven, Riemann-Liouville fractional order integral equations are considered. Each chapter concludes with a section devoted to notes and bibliographical remarks. The work is self-contained but also contains questions and directions for further research. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Functional equations. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Integral equations. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Differential equations, partial. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Partial Differential Equations. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Integral Equations. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Difference and Functional Equations. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | Benchohra, Mouffak. |
Relator term | author. |
700 1# - ADDED ENTRY--PERSONAL NAME | |
Personal name | N'Guérékata, Gaston M. |
Relator term | author. |
710 2# - ADDED ENTRY--CORPORATE NAME | |
Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY | |
Title | Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Display text | Printed edition: |
International Standard Book Number | 9781461440352 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
Uniform title | Developments in Mathematics, |
-- | 1389-2177 ; |
Volume number/sequential designation | 27 |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-1-4614-4036-9 |
912 ## - | |
-- | ZDB-2-SMA |
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