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.
General
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