Functional Numerical Methods Applications to Abstract Fractional Calculus [Hardcover]

This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain  studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to grow in popularity, and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas  including decision-making, complex processes, systems modeling and control  and deeply embedded in the fields of engineering, computer science, physics, economics, and the social and life sciences. The book offers a valuable resource for researchers and graduate students, and can also be used as a textbook for seminars on the above-mentioned subjects. All chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references.

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.This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain  studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systel³$