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Conformable Dynamic Equations on Time Scales (Paperback)
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Conformable Dynamic Equations on Time Scales (Paperback)
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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.
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