東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

FindBook

Google Book

Amazon

博客來

Towards Ulam type multi stability analysis = a novel approach for fuzzy dynamical systems /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Towards Ulam type multi stability analysis/ by Safoura Rezaei Aderyani ... [et al.].
其他題名:	a novel approach for fuzzy dynamical systems /
其他作者:	Rezaei Aderyani, Safoura.
出版者:	Cham :Springer Nature Switzerland : : 2024.,
面頁冊數:	xix, 571 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Fuzzy mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-55564-0
ISBN:	9783031555640

Towards Ulam type multi stability analysis = a novel approach for fuzzy dynamical systems /
Towards Ulam type multi stability analysisa novel approach for fuzzy dynamical systems /[electronic resource] :by Safoura Rezaei Aderyani ... [et al.]. - Cham :Springer Nature Switzerland :2024. - xix, 571 p. :ill. (some col.), digital ;24 cm. - Studies in systems, decision and control,v. 5232198-4190 ;. - Studies in systems, decision and control ;v. 523..

The main target of this book is to present a new concept of Ulam-type stability, i.e., multi-stability, through the classical, well-known special functions and to obtain the best approximation error estimates by a different concept of perturbation stability including fuzzy approaches for uncertainty considerations. This stability allows us to obtain diverse approximations depending on various special functions that are initially chosen and to evaluate maximal stability and minimal error which enable us to obtain a unique optimal solution of functional equations, inequalities, and fractional equations. Stability analysis in the sense of the Ulam and its different kinds has received considerable attention from the researchers. However, how to effectively generalize the Ulam stability problems and to evaluate optimized controllability and stability are new issues. The multi-stability not only covers the previous concepts but also considers the optimization of the problem and provides a comprehensive discussion of optimizing the different types of the Ulam stabilities of mathematical models used in the natural sciences and engineering disciplines with fuzzy attitudes. Besides, this book also deals with nonlinear differential equations with various boundary conditions or initial value problems, based on the matrix Mittag-Leffler function, fixed point theory, as well as Babenko's approach to study uniqueness and existence of solutions. In general, the benefits for the readers can be concluded as follows: 1. Evaluates maximal stability with minimal error to get a unique optimal solution. 2. Discusses an optimal method of the alternative to study existence, uniqueness, and different types of Ulam stabilities under special consideration of the fuzzy approaches. 3. Delves into the new study of boundary value problems of fractional integro-differential equations with integral boundary conditions and variable coefficients.

ISBN: 9783031555640

Standard No.: 10.1007/978-3-031-55564-0doiSubjects--Topical Terms:

582139
Fuzzy mathematics.

LC Class. No.: QA248.5

Dewey Class. No.: 511.313

Towards Ulam type multi stability analysis = a novel approach for fuzzy dynamical systems /
LDR:03060nmm a22003255a 4500 001 2370469
003 DE-He213
005 20240430101831.0
006 m d
007 cr nn 008maaau
008 241127s2024 sz s 0 eng d
020 $a 9783031555640 $q (electronic bk.)
020 $a 9783031555633 $q (paper)
024 7 $a 10.1007/978-3-031-55564-0 $2 doi
035 $a 978-3-031-55564-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA248.5
072 7 $a UYQ $2 bicssc
072 7 $a COM004000 $2 bisacsh
072 7 $a UYQ $2 thema
082 0 4 $a 511.313 $2 23
090 $a QA248.5 $b .T737 2024
245 0 0 $a Towards Ulam type multi stability analysis $h [electronic resource] : $b a novel approach for fuzzy dynamical systems / $c by Safoura Rezaei Aderyani ... [et al.].
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xix, 571 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Studies in systems, decision and control, $x 2198-4190 ; $v v. 523
520 $a The main target of this book is to present a new concept of Ulam-type stability, i.e., multi-stability, through the classical, well-known special functions and to obtain the best approximation error estimates by a different concept of perturbation stability including fuzzy approaches for uncertainty considerations. This stability allows us to obtain diverse approximations depending on various special functions that are initially chosen and to evaluate maximal stability and minimal error which enable us to obtain a unique optimal solution of functional equations, inequalities, and fractional equations. Stability analysis in the sense of the Ulam and its different kinds has received considerable attention from the researchers. However, how to effectively generalize the Ulam stability problems and to evaluate optimized controllability and stability are new issues. The multi-stability not only covers the previous concepts but also considers the optimization of the problem and provides a comprehensive discussion of optimizing the different types of the Ulam stabilities of mathematical models used in the natural sciences and engineering disciplines with fuzzy attitudes. Besides, this book also deals with nonlinear differential equations with various boundary conditions or initial value problems, based on the matrix Mittag-Leffler function, fixed point theory, as well as Babenko's approach to study uniqueness and existence of solutions. In general, the benefits for the readers can be concluded as follows: 1. Evaluates maximal stability with minimal error to get a unique optimal solution. 2. Discusses an optimal method of the alternative to study existence, uniqueness, and different types of Ulam stabilities under special consideration of the fuzzy approaches. 3. Delves into the new study of boundary value problems of fractional integro-differential equations with integral boundary conditions and variable coefficients.
650 0 $a Fuzzy mathematics. $3 582139
650 0 $a Transcendental functions. $3 3715840
650 1 4 $a Computational Intelligence. $3 1001631
650 2 4 $a Applied Dynamical Systems. $3 3538870
650 2 4 $a Engineering Mathematics. $3 3301900
700 1 $a Rezaei Aderyani, Safoura. $3 3715838
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Studies in systems, decision and control ; $v v. 523. $3 3715839
856 4 0 $u https://doi.org/10.1007/978-3-031-55564-0
950 $a Intelligent Technologies and Robotics (SpringerNature-42732)