q-Fractional calculus and equations / (Record no. 66110)

MARC details
000 -LEADER
fixed length control field 03126cam a22003497a 4500
001 - CONTROL NUMBER
control field 0000072173
003 - CONTROL NUMBER IDENTIFIER
control field 0001
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170622s2012 nyua b 001 0 eng d
016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER
Record control number 016112287
Source Uk
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783642308970 (paperback)
International Standard Book Number 364230897X
040 ## - CATALOGING SOURCE
Original cataloging agency BTCTA
Language of cataloging eng
Transcribing agency BTCTA
Modifying agency UKMGB
-- YDXCP
-- CLS
-- OCLCO
-- TXI
-- OHX
-- BWX
-- DLC
042 ## - AUTHENTICATION CODE
Authentication code lccopycat
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.83
084 ## - OTHER CLASSIFICATION NUMBER
Classification number 515.83
Item number ANN-F
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Annaby, Mahmoud H.
245 10 - TITLE STATEMENT
Title q-Fractional calculus and equations /
Medium [Book]
Statement of responsibility, etc. Mahmoud H. Annaby, Zeinab S. Mansour, editors.
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Place of publication, distribution, etc. New York :
Name of publisher, distributor, etc. Springer Verlag,
Date of publication, distribution, etc. 2012.
300 ## - PHYSICAL DESCRIPTION
Extent xix, 318 pages :
Other physical details illustrations ;
Dimensions 23 cm.
365 ## - TRADE PRICE
Price type code 01
Price amount 0.00
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Lecture notes in mathematics (Springer-Verlag) ;
Volume/sequential designation 2056.
490 1# - SERIES STATEMENT
Series statement Lecture notes in mathematics ;
Volume/sequential designation 2056
520 ## - SUMMARY, ETC.
Summary, etc. This nine-chapter monograph introduces a rigorous investigation of q-difference operators in standard and fractional settings. It starts with elementary calculus of q-differences and integration of Jackson’s type before turning to q-difference equations. The existence and uniqueness theorems are derived using successive approximations, leading to systems of equations with retarded arguments. Regular q-Sturm–Liouville theory is also introduced; Green’s function is constructed and the eigenfunction expansion theorem is given. The monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi. Hence fractional q-calculi of the types Riemann–Liouville; Grünwald–Letnikov; Caputo; Erdľyi–Kober and Weyl are defined analytically. Fractional q-Leibniz rules with applications in q-series are also obtained with rigorous proofs of the formal results of Al-Salam-Verma, which remained unproved for decades. In working towards the investigation of q-fractional difference equations; families of q-Mittag-Leffler functions are defined and their properties are investigated, especially the q-Mellin–Barnes integral and Hankel contour integral representation of the q-Mittag-Leffler functions under consideration, the distribution, asymptotic and reality of their zeros, establishing q-counterparts of Wiman’s results. Fractional q-difference equations are studied; existence and uniqueness theorems are given and classes of Cauchy-type problems are completely solved in terms of families of q-Mittag-Leffler functions. Among many q-analogs of classical results and concepts, q-Laplace, q-Mellin and q2-Fourier transforms are studied and their applications are investigated.
521 ## - TARGET AUDIENCE NOTE
Target audience note All
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Fractional calculus.
Geographic subdivision Integral equations
Topical term or geographic name entry element Integral transforms
Geographic subdivision Difference equations
Topical term or geographic name entry element Functions of complex variables
Geographic subdivision Functional equations
Topical term or geographic name entry element Mathematics
Geographic subdivision Mathematical physics
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Annaby, Mahmoud H.
Personal name Mansour, Zeinab S.
852 ## - LOCATION
Piece designation 56419
-- 5935.95
Classification part 515.83 ANN-F
-- Progressive International Agencies Pvt. Ltd. CUI Lahore
Sublocation or collection Ground Floor
Former shelving location Books
Copy number 1
Piece physical condition 1-New
Location JZL-CUI
Holdings
Date last seen Total checkouts Full call number Shelving location Price effective from Koha item type Lost status Damaged status Not for loan Withdrawn status Home library Barcode Current library Date acquired
09/12/2023   515.83 ANN-F Ground Floor 09/12/2023 Books         Junaid Zaidi Library, COMSATS University Islamabad 56419 Junaid Zaidi Library, COMSATS University Islamabad 09/12/2023