Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus [Hardcover]

In this short monograph Newton-likeand other similar numerical methods with applications to solving multivariateequations are developed, which involve Caputotype fractional mixed partial derivatives and multivariate fractional Riemann-Liouvilleintegral operators. These are studied for the first time in the literature. Thechapters are self-contained and can be read independently. An extensive list ofreferences is given per chapter. The books results are expected to findapplications in many areas of applied mathematics, stochastics, computerscience and engineering. As such this short monograph is suitable forresearchers, graduate students, to be used in graduate classes and seminars ofthe 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 Newtons Method.- The Left Multidimensional Riemann-Liouville Fractional Integral.- The Right Multidimensional Riemann-Liouville Fractional Integral.

In this short monograph Newton-likeand other similar numerical methods with applications to solving multivariateequations are developed, which involve Caputotype fractional mixed partial derivatives and multivariate fractional Riemann-Liouvilleintegral operators. These are studied for the first time in the literature. Thechapters are self-contained and can be read independently. An extensive list ofreferences is given per chapter. The books results are expected to findapplications in many areas of applied mathematics, stochastics, comlƒ*