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Functional Numerical Methods: Applications to Abstract Fractional Calculus

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Functional Numerical Methods: Applications to Abstract Fractional Calculus/ by George A. Anastassiou, Ioannis K. Argyros.
作者:	Anastassiou, George A.
其他作者:	Argyros, Ioannis K.
面頁冊數:	X, 161 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Computational intelligence. -
電子資源:	https://doi.org/10.1007/978-3-319-69526-6
ISBN:	9783319695266

Functional Numerical Methods: Applications to Abstract Fractional Calculus
Anastassiou, George A.

Functional Numerical Methods: Applications to Abstract Fractional Calculus[electronic resource] /by George A. Anastassiou, Ioannis K. Argyros. - 1st ed. 2018. - X, 161 p.online resource. - Studies in Systems, Decision and Control,1302198-4182 ;. - Studies in Systems, Decision and Control,27.

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 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.

ISBN: 9783319695266

Standard No.: 10.1007/978-3-319-69526-6doiSubjects--Topical Terms:

568984
Computational intelligence.

LC Class. No.: Q342

Dewey Class. No.: 006.3

Functional Numerical Methods: Applications to Abstract Fractional Calculus
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520 $a 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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