Advances On Fractional Dynamic Inequalities On Time Scales

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

Advances On Fractional Dynamic Inequalities On Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances On Fractional Dynamic Inequalities On Time Scales write by Svetlin G Georgiev. This book was released on 2023-08-29. Advances On Fractional Dynamic Inequalities On Time Scales available in PDF, EPUB and Kindle. 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

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

Dynamic Inequalities On Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamic Inequalities On Time Scales write by Ravi Agarwal. This book was released on 2014-10-30. Dynamic Inequalities On Time Scales available in PDF, EPUB and Kindle. 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

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 019/5 ( reviews)

Dynamic Equations on Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamic Equations on Time Scales write by Martin Bohner. This book was released on 2012-12-06. Dynamic Equations on Time Scales available in PDF, EPUB and Kindle. On becoming familiar with difference equations and their close re lation to differential equations, I was in hopes that the theory of difference equations could be brought completely abreast with that for ordinary differential equations. [HUGH L. TURRITTIN, My Mathematical Expectations, Springer Lecture Notes 312 (page 10), 1973] A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both. [E. T. BELL, Men of Mathematics, Simon and Schuster, New York (page 13/14), 1937] The theory of time scales, which has recently received a lot of attention, was introduced by Stefan Hilger in his PhD thesis [159] in 1988 (supervised by Bernd Aulbach) in order to unify continuous and discrete analysis. This book is an intro duction to the study of dynamic equations on time scales. Many results concerning differential equations carryover quite easily to corresponding results for difference equations, while other results seem to be completely different in nature from their continuous counterparts. The study of dynamic equations on time scales reveals such discrepancies, and helps avoid proving results twice, once for differential equa tions and once for difference equations. The general idea is to prove a result for a dynamic equation where the domain of the unknown function is a so-called time scale, which is an arbitrary nonempty closed subset of the reals.

Integral Inequalities on Time Scales

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Release : 2020-08-24
Genre : Mathematics
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Book Rating : 559/5 ( reviews)

Integral Inequalities on Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Integral Inequalities on Time Scales write by Svetlin G. Georgiev. This book was released on 2020-08-24. Integral Inequalities on Time Scales available in PDF, EPUB and Kindle. 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.

Conformable Dynamic Equations on Time Scales

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Release : 2020-08-29
Genre : Mathematics
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Book Rating : 93X/5 ( reviews)

Conformable Dynamic Equations on Time Scales - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Conformable Dynamic Equations on Time Scales write by Douglas R. Anderson. This book was released on 2020-08-29. Conformable Dynamic Equations on Time Scales available in PDF, EPUB and Kindle. The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L’Hopital and Leibniz in which the question of a half-order derivative was posed. Since then, many formulations of fractional derivatives have appeared. Recently, a new definition of fractional derivative, called the "fractional conformable derivative," has been introduced. This new fractional derivative is compatible with the classical derivative and it has attracted attention in areas as diverse as mechanics, electronics, and anomalous diffusion. Conformable Dynamic Equations on Time Scales is devoted to the qualitative theory of conformable dynamic equations on time scales. This book summarizes the most recent contributions in this area, and vastly expands on them to conceive of a comprehensive theory developed exclusively for this book. Except for a few sections in Chapter 1, the results here are presented for the first time. As a result, the book is intended for researchers who work on dynamic calculus on time scales and its applications. Features Can be used as a textbook at the graduate level as well as a reference book for several disciplines Suitable for an audience of specialists such as mathematicians, physicists, engineers, and biologists Contains a new definition of fractional derivative About the Authors Douglas R. Anderson is professor and chair of the mathematics department at Concordia College, Moorhead. His research areas of interest include dynamic equations on time scales and Ulam-type stability of difference and dynamic equations. He is also active in investigating the existence of solutions for boundary value problems. Svetlin G. Georgiev is currently professor at Sorbonne University, Paris, France and works in various areas of mathematics. He currently focuses on harmonic analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, dynamic calculus on time scales, and integral equations.