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Functional numerical methodsapplicat...

Anastassiou, George A.

Functional numerical methodsapplications to abstract fractional calculus /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Functional numerical methodsby George A. Anastassiou, Ioannis K. Argyros.
其他題名:	applications to abstract fractional calculus /
作者:	Anastassiou, George A.
其他作者:	Argyros, Ioannis K.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	x, 161 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Fractional calculus.
電子資源:	http://dx.doi.org/10.1007/978-3-319-69526-6
ISBN:	9783319695266$q(electronic bk.)

Functional numerical methodsapplications to abstract fractional calculus /
Anastassiou, George A.

Functional numerical methodsapplications to abstract fractional calculus /[electronic resource] :by George A. Anastassiou, Ioannis K. Argyros. - Cham :Springer International Publishing :2018. - x, 161 p. :ill., digital ;24 cm. - Studies in systems, decision and control,v.1302198-4182 ;. - Studies in systems, decision and control ;v.3..

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$q(electronic bk.)

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

208302
Fractional calculus.

LC Class. No.: QA314

Dewey Class. No.: 515.83

Functional numerical methodsapplications to abstract fractional calculus /
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505 0 $a 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.
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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