Pedagogically organized, this monograph introduces fractional calculus
and fractional dynamic equations on time scales in relation to
mathematical physics applications and problems. Beginning with the
definitions of forward and backward jump operators, the book builds from
Stefan Hilger's basic theories on time scales and examines recent
developments within the field of fractional calculus and fractional
equations. Useful tools are provided for solving differential and
integral equations as well as various problems involving special
functions of mathematical physics and their extensions and
generalizations in one and more variables. Much discussion is devoted to
Riemann-Liouville fractional dynamic equations and Caputo fractional
dynamic equations. Intended for use in the field and designed for
students without an extensive mathematical background, this book is
suitable for graduate courses and researchers looking for an
introduction to fractional dynamic calculus and equations on time
scales.