{"product_id":"numerical-methods-for-fractal-fractional-differential-muhammad-altaf-khan-9781032415222","title":"Numerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling","description":"\u003cp\u003eThis book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions.\u003c\/p\u003e\u003cp\u003eNumerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling provides details for stability, convergence, and analysis along with numerical methods and their solution procedures for fractal-fractional operators. The book offers applications to chaotic problems and simulations using multiple fractal-fractional operators and concentrates on models that display chaos. The book details how these systems can be predictable for a while and then can appear to become random.\u003c\/p\u003e\u003cp\u003ePractitioners, engineers, researchers, and senior undergraduate and graduate students from mathematics and engineering disciplines will find this book of interest._\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Muhammad Altaf Khan,Abdon Atangana\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1032415223\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781032415222\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/16\/2023\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 412\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.71lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.94d","brand":"Muhammad Altaf Khan","offers":[{"title":"Hardcover","offer_id":48087512547583,"sku":"9781032415222","price":180.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_995b9066-95d8-4e7d-8545-300c1dbfad7b.jpg?v=1769100485","url":"https:\/\/www.whiterainbookhouse.com\/products\/numerical-methods-for-fractal-fractional-differential-muhammad-altaf-khan-9781032415222","provider":"WR Book House","version":"1.0","type":"link"}