Conformable Dynamic Equations on Time Scales

The concept of fractional derivatives was first introduced in a letter between LHopital and Leibniz and has since been developed in many formulations. A new definition, the fractional conformable derivative, has been introduced and is compatible with the classical derivative. Conformable Dynamic Equations on Time Scales is a book devoted to the qualitative theory of conformable dynamic equations on time scales, presenting results for the first time and suitable for researchers in dynamic calculus and its applications.

Format: Paperback / softback
Length: 336 pages
Publication date: 01 February 2022
Publisher: Taylor & Francis Ltd

The concept of fractional derivatives, which refers to derivatives of non-integer order, emerged in a letter exchanged between L'Hôpital and Leibniz. This letter addressed the question of a half-order derivative, marking the initial introduction of fractional derivatives. Since then, numerous formulations of fractional derivatives have been proposed. Recently, a novel definition called the fractional conformable derivative has been introduced. This new fractional derivative is compatible with the classical derivative and has garnered significant attention in diverse fields such as mechanics, electronics, and anomalous diffusion.

Conformable Dynamic Equations on Time Scales is a comprehensive book dedicated to the qualitative theory of conformable dynamic equations on time scales. This book summarizes the latest advancements in this field and extensively expands on them to establish a comprehensive theory specifically crafted for this publication. Except for a few sections in Chapter 1, the results presented herein are novel. Consequently, the book is intended for researchers engaged in dynamic calculus on time scales and its applications.

Key Features:

Can serve as a textbook for graduate-level courses as well as a reference book for various disciplines.

Suitable for a readership of specialists, including mathematicians, physicists, engineers, and biologists.

Contains a new definition of fractional derivative.

About the Authors:

Douglas R. Anderson holds the position of professor and chair in the mathematics department at Concordia College, Moorhead. His research interests encompass dynamic equations on time scales and the stability of difference and dynamic equations, particularly in the context of boundary value problems.

Svetlin G. Georgiev currently serves as a professor at Sorbonne University, Paris, France.

Weight: 640g
Dimension: 254 x 178 (mm)
ISBN-13: 9780367523107