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Advances On Fractional Dynamic Inequalities On Time Scales

2023-08-29 Mathematics
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Release : 2023-08-29
Genre : Mathematics
Kind : eBook
Book Rating : 483/5 ( reviews)

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Book Synopsis Advances On Fractional Dynamic Inequalities On Time Scales by : Svetlin G Georgiev

Download or read book Advances On Fractional Dynamic Inequalities On Time Scales written by Svetlin G Georgiev. This book was released on 2023-08-29. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted on recent developments of linear and nonlinear fractional Riemann-Liouville and Caputo integral inequalities on time scales. The book is intended for the use in the field of fractional dynamic calculus on time scales and fractional dynamic equations on time scales. It is also suitable for graduate courses in the above fields, and contains ten chapters. The aim of this book is to present a clear and well-organized treatment of the concept behind the development of mathematics as well as solution techniques. The text material of this book is presented in a readable and mathematically solid format.

Dynamic Inequalities On Time Scales

2014-10-30 Mathematics
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Release : 2014-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 020/5 ( reviews)

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Book Synopsis Dynamic Inequalities On Time Scales by : Ravi Agarwal

Download or read book Dynamic Inequalities On Time Scales written by Ravi Agarwal. This book was released on 2014-10-30. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics. In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and Čebyšv's inequality. Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.

Dynamic Equations on Time Scales and Applications

2024-10-18 Mathematics
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Release : 2024-10-18
Genre : Mathematics
Kind : eBook
Book Rating : 758/5 ( reviews)

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Book Synopsis Dynamic Equations on Time Scales and Applications by : Ravi P Agarwal

Download or read book Dynamic Equations on Time Scales and Applications written by Ravi P Agarwal. This book was released on 2024-10-18. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc. • Presents cutting-edge research trends of dynamic equations and recent advances in contemporary research on the topic of time scales • Connects several new areas of dynamic equations on time scales with applications in different fields • Includes mathematical explanation from the perspective of existing knowledge of dynamic equations on time scales • Offers several new recently developed results, which are useful for the mathematical modeling of various phenomena • Useful for several interdisciplinary fields like economics, biology, and population dynamics from the perspective of new trends The text is for postgraduate students, professionals, and academic researchers working in the fields of Applied Mathematics

Integral Inequalities on Time Scales

2020-08-24 Mathematics
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Release : 2020-08-24
Genre : Mathematics
Kind : eBook
Book Rating : 664/5 ( reviews)

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Book Synopsis Integral Inequalities on Time Scales by : Svetlin G. Georgiev

Download or read book Integral Inequalities on Time Scales written by Svetlin G. Georgiev. This book was released on 2020-08-24. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to recent developments of linear and nonlinear integral inequalities on time scales. The book is intended for the use in the field of dynamic calculus on time scales, dynamic equation and integral equations on time scales. It is also suitable for graduate courses in the above fields. The book is designed for those who have mathematical background on time scales calculus.

Dynamic Calculus and Equations on Time Scales

2023-09-18 Mathematics
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Release : 2023-09-18
Genre : Mathematics
Kind : eBook
Book Rating : 975/5 ( reviews)

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Book Synopsis Dynamic Calculus and Equations on Time Scales by : Svetlin G. Georgiev

Download or read book Dynamic Calculus and Equations on Time Scales written by Svetlin G. Georgiev. This book was released on 2023-09-18. Available in PDF, EPUB and Kindle. Book excerpt: The latest advancements in time scale calculus are the focus of this book. New types of time-scale integral transforms are discussed in the book, along with how they can be used to solve dynamic equations. Novel numerical techniques for partial dynamic equations on time scales are described. New time scale inequalities for exponentially convex functions are introduced as well.

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