Quantum calculus: new concepts, impulsive ivps and bvps, inequalities (Record no. 204664)

MARC details
000 -LEADER
fixed length control field 02961cam a2200229 i 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 160414b2016 000 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789813141520
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Item number A4Q8
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Ahmad, Bashir
9 (RLIN) 336550
245 10 - TITLE STATEMENT
Title Quantum calculus: new concepts, impulsive ivps and bvps, inequalities
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New Jersey
Name of publisher, distributor, etc World Scientific
Date of publication, distribution, etc 2016
300 ## - PHYSICAL DESCRIPTION
Extent xii, 276 p.
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Trends in abstract and applied analysis; Vol. 4
9 (RLIN) 336644
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc 1.Preliminaries<br/>2.Quantum Calculus on Finite Intervals<br/>3.Initial Value Problems for Impulsive qk-Difference Equations and Inclusions<br/>4.Boundary Value Problems for First-Order Impulsive qk-Integro-Difference Equations and Inclusions<br/>5.Impulsive qk-Difference Equations with Different Kinds of Boundary Conditions<br/>6.Nonlinear Second-Order Impulsive qk-Difference Langevin Equation with Boundary Conditions<br/>7.Quantum Integral Inequalities on Finite Intervals<br/>8.Impulsive Quantum Difference Systems with Boundary Conditions<br/>9.New Concepts of Fractional Quantum Calculus and Applications to Impulsive Fractional qk-Difference Equations<br/>10.Integral Inequalities via Fractional Quantum Calculus<br/>11.Nonlocal Boundary Value Problems for Impulsive Fractional qk-Difference Equations<br/>12.Existence Results for Impulsive Fractional qk-Difference Equations with Anti-periodic Boundary Conditions<br/>13.Impulsive Fractional qk-Integro-Difference Equations with Boundary Conditions<br/>14.Impulsive Hybrid Fractional Quantum Difference Equations
520 ## - SUMMARY, ETC.
Summary, etc The main objective of this book is to extend the scope of the q-calculus based on the definition of q-derivative [Jackson (1910)] to make it applicable to dense domains. As a matter of fact, Jackson's definition of q-derivative fails to work for impulse points while this situation does not arise for impulsive equations on q-time scales as the domains consist of isolated points covering the case of consecutive points. In precise terms, we study quantum calculus on finite intervals.<br/>In the first part, we discuss the concepts of qk-derivative and qk-integral, and establish their basic properties. As applications, we study initial and boundary value problems of impulsive qk-difference equations and inclusions equipped with different kinds of boundary conditions. We also transform some classical integral inequalities and develop some new integral inequalities for convex functions in the context of qk-calculus. In the second part, we develop fractional quantum calculus in relation to a new qk-shifting operator and establish some existence and qk uniqueness results for initial and boundary value problems of impulsive fractional qk-difference equations.<br/><br/>http://www.worldscientific.com/worldscibooks/10.1142/10075
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Calculus
9 (RLIN) 2450
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum theory
9 (RLIN) 22011
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorial analysis
9 (RLIN) 56887
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Ntouyas, Sotiris
9 (RLIN) 336552
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Tariboon, Jessada
9 (RLIN) 336553
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Item location Total Checkouts Full call number Barcode Date last seen Cost, replacement price Koha item type
    Dewey Decimal Classification     Non-fiction Vikram Sarabhai Library Vikram Sarabhai Library General Stacks 29/09/2016 12 5365.59 Rack 28-A / Slot 1370 (0 Floor, East Wing)   515 A4Q8 192899 29/09/2016 6707.00 Books