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This§monograph presents recent original work in Numerical Analysis and Fractional§Calculus. The chapters are self-contained and can be read independently. An§extensive list of references is given per chapter. The book studies Newton-type,§Newton-like and other similar numerical methods, which involve fractional§derivatives and fractional integral operators, for the first time in the§literature. The book's results are expected to find applications in many areas§of applied mathematics, stochastics, computer science and engineering. The§monograph is suitable for researchers, graduate students, and seminars of the§above subjects in science and engineering.