Textbook in PDF format

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