Functional numerical methods : applications to abstract fractional calculus

• 作者： Anastassiou, George A., author.
• 其他作者：
  • Argyros, Ioannis K., author.
  • SpringerLink (Online service)
• 其他題名：
  • Studies in systems, decision and control ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Studies in systems, decision and control,volume 130
• 主題： Fractional calculus. , Numerical analysis. , Functional analysis. , Engineering. , Computational Intelligence. , Control. , Artificial Intelligence (incl. Robotics) , Systems Theory, Control.
• ISBN： 9783319695266 (electronic bk.) 、 9783319695259 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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