Dynamic Calculus and Equations on Time Scales

✍ Scribed by Svetlin G. Georgiev (editor)

• Publisher: De Gruyter
• Year: 2023
• Tongue: English
• Leaves: 336
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Preface
Contents
List of Contributing Authors
1 Projector analysis of dynamic systems on time scales
2 Muckenhoupt and Gehring weights on time scales
3 Ulam stability and instability of first-order linear 1- and 2-periodic dynamic equations on isolated time scales
4 A logarithm on time scales and its uses
5 Qualitative analysis for hybrid fuzzy differential equations involving tempered Ξ-Hilfer fractional derivative on time scales
6 The dynamical analysis of nonlinear Ambartsumian equation via tempered Ξ-Hilfer fractional derivative on time scales
7 Series solution method on time scales and its applications
8 Generalized diamond alpha Bennett–Leindler-type dynamic inequalities
9 De La Vallée Poussin-type inequality for impulsive dynamic equations on time scales
10 Divided and σ-divided differences on time scales
Index