In this monograph the authors present Newton-type, Newton-like and other
numerical methods, which involve fractional derivatives and fractional
integral operators, for the first time studied in the literature. All
for the purpose to solve numerically equations whose associated
functions can be also non-differentiable in the ordinary sense. That is
among others extending the classical Newton method theory which requires
usual differentiability of function.
Chapters are self-contained and can be read independently and several
advanced courses can be taught out of this book. An extensive list of
references is given per chapter. The book's results are expected to find
applications in many areas of applied mathematics, stochastics, computer
science and engineering. As such this monograph is suitable for
researchers, graduate students, and seminars of the above subjects, also
to be in all science and engineering libraries.