MARC ayrıntıları
| 000 -LEADER |
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| fixed length control field |
04366cam a2200421 i 4500 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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| fixed length control field |
m d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr aa aaaaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
091123s2015 si ob 001 0 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
|---|
| LC control number |
2014045570 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9789814641104 |
|
|---|
| International Standard Book Number |
9789814641098 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC) |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
WSPC |
| Language of cataloging |
eng |
| Transcribing agency |
WSPC |
| Modifying agency |
BAUN |
| Description conventions |
rda |
| 049 ## - LOCAL HOLDINGS (OCLC) |
|---|
| Holding library |
BAUN_MERKEZ |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA314 |
| Item number |
.B354 2015 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Baleanu, D. |
| Fuller form of name |
(Dumitru) |
| 9 (RLIN) |
88192 |
| Relator term |
Author |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Asymptotic integration and stability : |
| Remainder of title |
for ordinary, functional and discrete differential equations of fractional order / |
| Statement of responsibility, etc |
Dumitru Baleanu, Octavian G. Mustafa. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Singapore ; |
| -- |
Hackensack, N.J. : |
| Name of producer, publisher, distributor, manufacturer |
World Scientific Pub. Co., |
| Date of production, publication, distribution, manufacture, or copyright notice |
c2015. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xi, 196 pages) |
| 336 ## - CONTENT TYPE |
|---|
| Source |
rdacontent |
| Content Type Term |
text |
| Content Type Code |
txt |
| 337 ## - MEDIA TYPE |
|---|
| Source |
rdamedia |
| Media Type Term |
computer |
| Media Type Code |
computer |
| 338 ## - CARRIER TYPE |
|---|
| Source |
rdacarrier |
| Carrier Type Term |
online resource |
| Carrier Type Code |
volume |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
data file |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Series on complexity, nonlinearity and chaos ; |
| Volume number/sequential designation |
vol. 4. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references (pages 181-194) and index. |
| 505 00 - FORMATTED CONTENTS NOTE |
|---|
| Title |
1. The differential operators of order 1 + [symbol] and their integral counterparts. |
| -- |
1.1. The gamma function. |
| -- |
1.2. The Riemann-Liouville derivative. |
| -- |
1.3. The Abel computation. |
| -- |
1.4. The operators. The Caputo differential. |
| -- |
1.5. The integral representation of the operators. |
| -- |
The half-line case |
| -- |
-- 2. Existence and uniqueness of solution for the differential equations of order [symbol]. |
| -- |
2.1. A Lovelady-Martin uniqueness result for the equation (2.2). |
| -- |
2.2. A Nagumo-like uniqueness criterion for the fractional differential equations with a Riemann-Liouville derivative. |
| -- |
2.3. A Wintner-type existence interval for the equation (2.2) |
| -- |
-- 3. Position of the zeros, the Bihari inequality, and the asymptotic behavior of solutions for the differential equations of order [symbol]. |
| -- |
3.1. A Fite-type length criterion for fractional disconjugacy. |
| -- |
3.2. The Bihari inequality. |
| -- |
3.3. Asymptotic integration of the differential equations of orders 1 and [symbol]. |
| -- |
3.4. The Bihari asymptotic integration theory of the differential equations of second order |
| -- |
-- 4. Asymptotic integration for the differential equations of order 1 + [symbol]. |
| -- |
4.1. An asymptotic integration theory of Trench type. |
| -- |
4.2. Asymptotically linear solutions. |
| -- |
4.3. A Bihari-like result. |
| -- |
4.4. Convergent solutions. |
| -- |
4.3. Lp-solutions of the equation (4.3) |
| -- |
-- 5. Existence and uniqueness of solution for some delay differential equations with Caputo derivatives |
| -- |
-- 6. Existence of positive solutions for some delay fractional differential equations with a generalized N-term. |
| -- |
6.1. The existence theorem. |
| -- |
6.2. Existence and uniqueness for the solution |
| -- |
-- 7. Stability of a class of discrete fractional nonautonomous systems |
| -- |
-- 8. Mittag-Leffler stability of fractional nonlinear systems with delay |
| -- |
-- 9. Razumikhin stability for fractional systems in the presence of delay |
| -- |
-- 10. Controllability of some fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. |
| -- |
10.1. Preliminaries. |
| -- |
10.2. The problem. |
| -- |
10.3. A controllability result |
| -- |
-- 11. Approximate controllability of Sobolev type nonlocal fractional stochastic dynamic systems in Hilbert spaces. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Fractional calculus |
| 9 (RLIN) |
101285 |
|
|---|
| Topical term or geographic name as entry element |
Fractional differential equations |
| 9 (RLIN) |
101286 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Mustafa, Octavian G. |
| 9 (RLIN) |
101287 |
| Relator term |
Author |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
World Scientific (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| 9 (RLIN) |
108056 |
| Uniform title |
Series on complexity, nonlinearity and chaos ; |
| Volume number/sequential designation |
vol. 4. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://www.worldscientific.com/worldscibooks/10.1142/9413#t=toc |
| 776 1# - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| International Standard Book Number |
9789814641098. |
| 900 ## - EQUIVALENCE OR CROSS-REFERENCE-PERSONAL NAME [LOCAL, CANADA] |
|---|
| Personal Name |
EK2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Elektronik Kitap |
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