Functional numerical methods: applications to abstract fractional calculus 1st ed.

Author

• Anastassiou, George A.

Additional Author(s)

• Argyros, Ioannis K.

Publisher

Cham, Switzerland : Springer International Publishing, 2018

Language

English

ISBN

9783319695266

Series

Studies in systems, decision and control 130

Subject(s)

• ARTIFICIAL INTELLIGENCE
• FUNCTIONAL ANALYSIS
• NUMERICAL ANALYSIS

Notes

. .

Abstract

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.

Physical Dimension

Number of Page(s)

1 online resource (x, 161 p.)

Dimension

-

Other Desc.

-

Summary / Review / Table of Content

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.

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	01746/20	515.83 Ana F	Online !	Available