Anderson D Conformable Dynamic Equations on Time Scales 2020 torrent

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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
Conformable Dynamic Calculus on Time Scales
First-Order Linear Dynamic Equations
Conformable Dynamic Systems on Time Scales
Linear Conformable Inequalities
Cauchy-Type Problem for a Class of Nonlinear Conformable Dynamic Equations
Higher-Order Linear Conformable Dynamic Equations with Constant Coefficients
Second-Order Conformable Dynamic Equations
Second-Order Self-Adjoint Conformable Dynamic Equations
The Conformable Laplace Transform
Appendix
Derivatives on Banach Spaces