Description
Springer Intelligent Numerical Methods II Applications to Multivariate Fractional Calculus by George A. Anastassiou, Ioannis K. Argyros
In this short monograph Newton-like_x000D_and other similar numerical methods with applications to solving multivariate_x000D_equations are developed, which involve Caputo_x000D_type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville_x000D_integral operators. These are studied for the first time in the literature. The_x000D_chapters are self-contained and can be read independently. An extensive list of_x000D_references is given per chapter. The book's results are expected to find_x000D_applications in many areas of applied mathematics, stochastics, computer_x000D_science and engineering. As such this short monograph is suitable for_x000D_researchers, graduate students, to be used in graduate classes and seminars of_x000D_the above subjects, also to be in all science and engineering libraries._x000D_ Table of contents :- _x000D_
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._x000D_