Generalized Quantum Calculus With Applications
DOWNLOAD
Download Generalized Quantum Calculus With Applications PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Generalized Quantum Calculus With Applications book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Generalized Quantum Calculus With Applications
DOWNLOAD
Author : Svetlin G. Georgiev
language : en
Publisher: Elsevier
Release Date : 2025-03-17
Generalized Quantum Calculus With Applications written by Svetlin G. Georgiev and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-17 with Mathematics categories.
Generalized Quantum Calculus with Applications is devoted to the qualitative theory of general quantum calculus and its applications to general quantum differential equations and inequalities. The book is aimed at upper-level undergraduate students and beginning graduate students in a range of interdisciplinary courses including physical sciences and engineering, from quantum mechanics to differential equations, with pedagogically organized chapters that each concludes with a section of practical problems. Generalized quantum calculus includes a generalization of the q-quantum calculus and the time scale calculus. There are many open problems and difficulties in q-quantum calculus and time-scale calculus, and this book explores how to use the generalized quantum operators to solve difficulties arising in q-quantum calculus and time-scale calculus, including but not limited to generalized quantum integration, generalized quantum chain rules, and generalized quantum Taylor formula.Since generalized quantum calculus includes the q-quantum and time-scale calculus, this book can be utilized by a wide audience of researchers and students. This text is one of few foundational books on generalized quantum calculus and can be used for future discoveries in the area of integral transforms, variational calculus, integral equations, and inequalities in the language of generalized quantum calculus. This book also offers detailed proofs, exercises, and examples to aid instructors, researchers, and users in their studies. - Explores cutting-edge research trends in quantum calculus - Provides practical information and techniques for building fundamental knowledge and applying contemporary quantum calculus in upper-undergraduate and graduate-level studies - Serves as a front-line book for budding researchers and experts of mathematics, along with students from several interdisciplinary fields - Offers additional resources such as detailed proofs, exercises, and examples to aid instructors and students in their work
General Quantum Numerical Analysis
DOWNLOAD
Author : Svetlin G. Georgiev
language : en
Publisher: CRC Press
Release Date : 2024-05-03
General Quantum Numerical Analysis written by Svetlin G. Georgiev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-03 with Mathematics categories.
This book is focused on the qualitative theory of general quantum calculus, the modern name for the investigation of calculus without limits. It centers on designing, analysing and applying computational techniques for general quantum differential equations. The quantum calculus or q-calculus began with F.H. Jackson in the early twentieth century, but this kind of calculus had already been worked out by Euler and Jacobi. Recently, it has aroused interest due to high demand of mathematics that models quantum computing and the connection between mathematics and physics. Quantum calculus has many applications in different mathematical areas such as number theory, combinatorics, orthogonal polynomials, basic hyper-geometric functions and other sciences such as quantum theory, mechanics and the theory of relativity. The authors summarize the most recent contributions in this area. General Quantum Numerical Analysis is intended for senior undergraduate students and beginning graduate students of engineering and science courses. The twelve chapters in this book are pedagogically organized, each concluding with a section of practical problems.
Applications Of Q Calculus In Operator Theory
DOWNLOAD
Author : Ali Aral
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-09
Applications Of Q Calculus In Operator Theory written by Ali Aral and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-09 with Mathematics categories.
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This monograph is an introduction to combining approximation theory and q-Calculus with applications, by using well- known operators. The presentation is systematic and the authors include a brief summary of the notations and basic definitions of q-calculus before delving into more advanced material. The many applications of q-calculus in the theory of approximation, especially on various operators, which includes convergence of operators to functions in real and complex domain forms the gist of the book. This book is suitable for researchers and students in mathematics, physics and engineering, and for professionals who would enjoy exploring the host of mathematical techniques and ideas that are collected and discussed in the book.
Q Fractional Calculus And Equations
DOWNLOAD
Author : Mahmoud H. Annaby
language : en
Publisher: Springer
Release Date : 2012-08-27
Q Fractional Calculus And Equations written by Mahmoud H. Annaby and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-27 with Mathematics categories.
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; Erdélyi–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.
Mathematical Analysis And Applications Ii
DOWNLOAD
Author : Hari M. Srivastava
language : en
Publisher: MDPI
Release Date : 2020-03-19
Mathematical Analysis And Applications Ii written by Hari M. Srivastava and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-19 with Mathematics categories.
This issue is a continuation of the previous successful Special Issue “Mathematical Analysis and Applications”
Probability Theory And Mathematical Statistics
DOWNLOAD
Author : B. Grigelionis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-05
Probability Theory And Mathematical Statistics written by B. Grigelionis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-05 with Mathematics categories.
No detailed description available for "Probability Theory and Mathematical Statistics".
Probability Theory And Mathematical Statistics
DOWNLOAD
Author : Bronius Grigelionis
language : en
Publisher: VSP
Release Date : 1999
Probability Theory And Mathematical Statistics written by Bronius Grigelionis and has been published by VSP this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The 7th Vilnius Conference on Probability Theory and Mathematical Statistics was held together with the 22nd European Meeting of Statisticians, 12--18 August 1998. This Proceedings volume contains invited lectures as well as some selected contributed papers. Topics included in the conference are: general inference; time series; statistics and probability in the life sciences; statistics and probability in natural and social science; applied probability; probability.
Fixed Point Theory And Fractional Calculus
DOWNLOAD
Author : Pradip Debnath
language : en
Publisher: Springer Nature
Release Date : 2022-05-10
Fixed Point Theory And Fractional Calculus written by Pradip Debnath and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-10 with Mathematics categories.
This book collects chapters on fixed-point theory and fractional calculus and their applications in science and engineering. It discusses state-of-the-art developments in these two areas through original new contributions from scientists across the world. It contains several useful tools and techniques to develop their skills and expertise in fixed-point theory and fractional calculus. New research directions are also indicated in chapters. This book is meant for graduate students and researchers willing to expand their knowledge in these areas. The minimum prerequisite for readers is the graduate-level knowledge of analysis, topology and functional analysis.
Inequalities In Geometry And Applications
DOWNLOAD
Author : Gabriel-Eduard Vîlcu
language : en
Publisher: MDPI
Release Date : 2021-03-09
Inequalities In Geometry And Applications written by Gabriel-Eduard Vîlcu and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-09 with Mathematics categories.
This book presents the recent developments in the field of geometric inequalities and their applications. The volume covers a vast range of topics, such as complex geometry, contact geometry, statistical manifolds, Riemannian submanifolds, optimization theory, topology of manifolds, log-concave functions, Obata differential equation, Chen invariants, Einstein spaces, warped products, solitons, isoperimetric problem, Erdös–Mordell inequality, Barrow’s inequality, Simpson inequality, Chen inequalities, and q-integral inequalities. By exposing new concepts, techniques and ideas, this book will certainly stimulate further research in the field.
Quantum Variational Calculus
DOWNLOAD
Author : Agnieszka B. Malinowska
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-29
Quantum Variational Calculus written by Agnieszka B. Malinowska and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-29 with Mathematics categories.
This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage of its results is that they are able to deal with nondifferentiable (even discontinuous) functions, which are important in applications. Possible applications in economics are discussed. Economists model time as continuous or discrete. Although individual economic decisions are generally made at discrete time intervals, they may well be less than perfectly synchronized in ways discrete models postulate. On the other hand, the usual assumption that economic activity takes place continuously, is nothing else than a convenient abstraction that in many applications is far from reality. The Hahn quantum calculus helps to bridge the gap between the two families of models: continuous and discrete. Quantum Variational Calculus is self-contained and unified in presentation. It provides an opportunity for an introduction to the quantum calculus of variations for experienced researchers but may be used as an advanced textbook by graduate students and even ambitious undergraduates as well. The explanations in the book are detailed to capture the interest of the curious reader, and complete to provide the necessary background material needed to go further into the subject and explore the rich research literature, motivating further research activity in the area.