{"product_id":"9783031967030","title":"Studies in Systems, Decision and Control: New Results on the Analysis of Fractional Equations: Theoretical Insights and Numerical Approximations","description":"\u003ch1\u003eStudies in Systems, Decision and Control: New Results on the Analysis of Fractional Equations: Theoretical Insights and Numerical Approximations\u003c\/h1\u003e \u003ch2\u003eEidinejad, Zahra; Saadati, Reza; Allahviranloo, Tofigh; Li, Chenkuan; Vahidi, Javad\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cspan style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; color: #002451;\"\u003eThis 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. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; color: #002451;\"\u003eThe 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. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; color: #002451;\"\u003eTo 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. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp class=\"xelementtoproof\"\u003e\u003cspan style=\"font-size: 11.0pt; font-family: 'Calibri',sans-serif; color: #002451;\"\u003eThe 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.\u003c\/span\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2025-10-02\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031967030\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-96704-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 383\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44340917534860,"sku":"9783031967030","price":179.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031967030.jpg?v=1776882838","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031967030","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}