Functional Numerical Methods. Applicatio
โ George A. Anastassiou, Ioannis K. Argyros
๐ Library
๐
2018
๐ Springer
๐ English
โฆ LIBER โฆ
๐
Functional Numerical Methods: Applications to Abstract Fractional Calculus
โ Scribed by George A. Anastassiou, Ioannis K. Argyros
- Publisher
- Springer International Publishing
- Year
- 2018
- Tongue
- English
- Leaves
- 166
- Series
- Studies in Systems, Decision and Control 130
- Edition
- 1
- Category
- Library
โฌ Acquire This Volume
No coin nor oath required. For personal study only.
โฆ Synopsis
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 โ 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 โ including decision-making, complex processes, systems modeling and control โ 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.
โฆ Table of Contents
Front Matter ....Pages i-x
Explicit-Implicit Methods with Applications to Banach Space Valued Functions in Abstract Fractional Calculus (George A. Anastassiou, Ioannis K. Argyros)....Pages 1-19
Convergence of Iterative Methods in Abstract Fractional Calculus (George A. Anastassiou, Ioannis K. Argyros)....Pages 21-39
Equations for Banach Space Valued Functions in Fractional Vector Calculi (George A. Anastassiou, Ioannis K. Argyros)....Pages 41-57
Iterative Methods in Abstract Fractional Calculus (George A. Anastassiou, Ioannis K. Argyros)....Pages 59-72
Semi-local Convergence in Right Abstract Fractional Calculus (George A. Anastassiou, Ioannis K. Argyros)....Pages 73-86
Algorithmic Convergence in Abstract g-Fractional Calculus (George A. Anastassiou, Ioannis K. Argyros)....Pages 87-104
Iterative Procedures for Solving Equations in Abstract Fractional Calculus (George A. Anastassiou, Ioannis K. Argyros)....Pages 105-120
Approximate Solutions of Equations in Abstract g-Fractional Calculus (George A. Anastassiou, Ioannis K. Argyros)....Pages 121-137
Generating Sequences for Solving in Abstract g-Fractional Calculus (George A. Anastassiou, Ioannis K. Argyros)....Pages 139-153
Numerical Optimization and Fractional Invexity (George A. Anastassiou, Ioannis K. Argyros)....Pages 155-161
โฆ Subjects
Computational Intelligence
๐ SIMILAR VOLUMES
Functional Numerical Methods: Applicatio
โ George A. Anastassiou, Ioannis K. Argyros
๐ Library
๐
2017
๐ Springer
๐ English
Intelligent Numerical Methods: Applicati
โ George A. Anastassiou, Ioannis K. Argyros
๐ Library
๐
2016
๐ Springer
๐ English
<p>In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be al
Intelligent numerical methods : applicat
โ Anastassiou, George A.; Argyros, Ioannis K
๐ Library
๐
2016
๐ Springer
๐ English
<p>In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be al
Intelligent Numerical Methods II: Applic
โ George A. Anastassiou, Ioannis K. Argyros (auth.)
๐ Library
๐
2016
๐ Springer International Publishing
๐ English
<p>In this short monograph Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, which involve Caputo type fractional mixed partial derivatives and multivariate fractional Riemann-Liouville integral operators. These are studied for the fir
Functional Fractional Calculus
โ Shantanu Das (auth.)
๐ Library
๐
2011
๐ Springer-Verlag Berlin Heidelberg
๐ English
<p><p>When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It i