Functional Numerical Methods: Applications to Abstract Fractional Calculus

Presents applications of Newton-like and other similar methods for solving abstract functional equations involving abstract Caputo and Canavati-type fractional derivatives The first-ever book to study Banach space-valued functions of a real domain Self-contained chapters can be read independently Starts each chapter with a section of prerequisites for the abstract fractional calculus applications in the final section Includes supplementary material: sn.pub/extras

Zusammenfassung

Inhalt
Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus.- Convergence of Iterative methods in abstract fractional calculus.- Equations for Banach space valued functions in fractional vector calculi.- Iterative methods in abstract fractional calculus.- Semi-local convergence in right abstract fractional calculus.- Algorithmic convergence in abstract g-fractional calculus.- Iterative procedures for solving equations in abstract fractional calculus.- Approximate solutions of equations in abstract g-fractional calculus.- Generating sequences for solving in abstract g-fractional calculus.- Numerical Optimization and fractional invexity.