In this short monograph Newton-like
and other similar numerical methods with applications to solving multivariate
equations are developed, which involve Caputo
type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville
integral operators. These are studied for the first time in the literature. The
chapters are self-contained and can be read independently. 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 short monograph is suitable for
researchers, graduate students, to be used in graduate classes and seminars of
the above subjects, also to be in all science and engineering libraries.

Fixed Point Results and Applications in Left Multivariate Fractional Calculus.- Fixed Point Results and Applications in Right Multivariate Fractional Calculus.- Semi-local Iterative Procedures and Applications In K-Multivariate Fractional Calculus.- Newton-like Procedures and Applications in Multivariate Fractional Calculus.- Implicit Iterative Algorithms and Applications in Multivariate Calculus.- Monotone Iterative Schemes and Applications in Fractional Calculus.- Extending the Convergence Domain of Newton's Method.- The Left Multidimensional Riemann-Liouville Fractional Integral.- The Right Multidimensional Riemann-Liouville Fractional Integral.