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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Technik Allg. & Lexika Optimal Stability Theory and Approximate Solutions of Fractional Systems
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Optimal Stability Theory and Approximate Solutions of Fractional Systems
Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Chenkuan Li, Javad Vahidi (Gebundene Ausgabe, Englisch)
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Beschreibung
This comprehensive book is designed for undergraduate, master's, and doctoral students in mathematics, as well as scholars interested in a deep understanding of fractional problems. The book covers a wide range of topics, including the existence and uniqueness of solutions, stability, optimal controllers, special functions, classical and fuzzy normed spaces, matrix functions, fuzzy matrix normed… spaces, fixed-point theory, quality and certainty, and various numerical methods. The primary objective of this book is to analyze the existence and uniqueness of solutions for functional equations, analyze stability, and achieve the best possible results with minimal error. With a clear and direct approach, it presents advanced concepts in an accessible and comprehensible manner, enabling students to apply their knowledge to solving various problems. To prevent instability in fractional systems, methods based on fixed-point theory with the best approximation have been utilized. The stability analysis of fractional equations is conducted by considering classical and fuzzy normed spaces and employing special functions as optimal controllers. In fuzzy systems, the Z-number theory has been used to enhance results and improve quality. This theory enables the assessment of approximation accuracy and quality, providing the best possible approximation. The numerical analysis of fractional systems plays a crucial role in accurately modeling physical phenomena, simulations, and predicting complex systems. By presenting numerical results from fractional systems, which are essential in solving real-world problems and optimizing computational algorithms, this book serves as a valuable resource for both researchers and students. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
02.10.2025
Sprache
Englisch
EAN
9783031967030
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Studies in Systems, Decision and Control
Sonderedition
Nein
Autor
Zahra Eidinejad, Reza Saadati, Tofigh Allahviranloo, Chenkuan Li, Javad Vahidi
Seitenanzahl
383
Einbandart
Gebundene Ausgabe
Buch Untertitel
New Results on the Analysis of Fractional Equations: Theoretical Insights and Numerical Approximations
Schlagwörter
Cădariu-Radu method, Diaz-Margolis's fixed point theorem, Radu-Miheţ method, Hyers- Ulam- Rassias stability, Hyers- Ulam- Wright stability, Fractional calculations, Fractional differential and Integral equations, Fractional differential equations, Special functions, Oscillation equations, ABC fractional differential equations, Non-homogenous equations, Fractional Volterra integral equations, Fractional Volterra integro-differential equations, Fractional nonlinear problems
Thema-Inhalt
TBJ - Mathematik für Ingenieure
GPFC - Kybernetik und Systemtheorie
UYQ - Künstliche Intelligenz
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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