Dynamic Calculus and Equations on Time Scales

Published by De Gruyter 2023

Dynamic Calculus and Equations on Time Scales

Edited by: Svetlin G. Georgiev

https://doi.org/10.1515/9783111182971

Overview
Contents

About this book

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.

Contributions by recognized experts in the field
Discusses novel and new applications of time scales calculus
Includes modeling with time scale calculus and applications in biology, physics, medicine and computer sciences.

Author / Editor information

Svetlin G. Georgiev

(born 1974, Bulgaria) has worked in various areas of mathematics. His current focus: harmonic analysis, functional analysis, partial di erential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, dynamic calculus on time scales.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	VII
List of Contributing Authors Publicly Available Download PDF	IX
1 Projector analysis of dynamic systems on time scales Svetlin G. Georgiev Requires Authentication Unlicensed Licensed Download PDF	1
2 Muckenhoupt and Gehring weights on time scales Samir H. Saker Requires Authentication Unlicensed Licensed Download PDF	77
3 Ulam stability and instability of first-order linear 1- and 2-periodic dynamic equations on isolated time scales Douglas R. Anderson and Masakazu Onitsuka Requires Authentication Unlicensed Licensed Download PDF	147
4 A logarithm on time scales and its uses Douglas R. Anderson, Martin Bohner and Guo-Cheng Wu Requires Authentication Unlicensed Licensed Download PDF	175
5 Qualitative analysis for hybrid fuzzy differential equations involving tempered Ξ-Hilfer fractional derivative on time scales R. Vivek, K. Kanagarajan and S. Sivasundaram Requires Authentication Unlicensed Licensed Download PDF	197
6 The dynamical analysis of nonlinear Ambartsumian equation via tempered Ξ-Hilfer fractional derivative on time scales S. Manikandan and K. Kanagarajan Requires Authentication Unlicensed Licensed Download PDF	219
7 Series solution method on time scales and its applications Svetlin G. Georgiev and İnci M. Erhan Requires Authentication Unlicensed Licensed Download PDF	239
8 Generalized diamond alpha Bennett–Leindler-type dynamic inequalities Zeynep Kayar, Billur Kaymakçalan and Neslihan Nesliye Pelen Requires Authentication Unlicensed Licensed Download PDF	259
9 De La Vallée Poussin-type inequality for impulsive dynamic equations on time scales Sı̇bel Doğru Akgöl and Abdullah Özbekler Requires Authentication Unlicensed Licensed Download PDF	295
10 Divided and σ-divided differences on time scales Najlaa Jaddoa, Rezan Sevinik-Adıgüzel and İnci M. Erhan Requires Authentication Unlicensed Licensed Download PDF	305
Index Requires Authentication Unlicensed Licensed Download PDF	325

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Institutional libraries and mathematicians, physicists, biologists and engineers using time scale techniques.
Pages
- Front matter: 10
- Main content: 326
Illustrations
- Illustrations: 2
- Tables: 7
Keywords: Dynamic equations; Fourier transform; integral equations; dynamic inequalities; mumerical methods.

eBook

Published: September 18, 2023
ISBN: 9783111182971

Hardcover

Published: September 18, 2023
ISBN: 9783111182896