The 2nd edition of this book is essentially an extended version of the
1st and provides a very sound overview of the most important special
functions of Fractional Calculus. It has been updated with material from
many recent papers and includes several surveys of important results
known before the publication of the 1st edition, but not covered there.
As a result of researchers' and scientists' increasing interest in pure
as well as applied mathematics in non-conventional models, particularly
those using fractional calculus, Mittag-Leffler functions have caught
the interest of the scientific community. Focusing on the theory of
Mittag-Leffler functions, this volume offers a self-contained,
comprehensive treatment, ranging from rather elementary matters to the
latest research results. In addition to the theory the authors devote
some sections of the work to applications, treating various situations
and processes in viscoelasticity, physics, hydrodynamics, diffusion and
wave phenomena, as well as stochastics. In particular, the
Mittag-Leffler functions make it possible to describe phenomena in
processes that progress or decay too slowly to be represented by
classical functions like the exponential function and related special
functions.
The book is intended for a broad audience, comprising graduate students,
university instructors and scientists in the field of pure and applied
mathematics, as well as researchers in applied sciences like
mathematical physics, theoretical chemistry, bio-mathematics, control
theory and several other related areas.
