Fractional calculus analysis dynamics (15 Ergebnisse)

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Zustand: New. Editor(s): Cresson, Jacky. Num Pages: 242 pages, illustrations. BIC Classification: PBK. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 258 x 180 x 19. Weight in Grams: 618. . 2014. UK ed. Hardcover. . . . .

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Zustand: New. Editor(s): Cresson, Jacky. Num Pages: 242 pages, illustrations. BIC Classification: PBK. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 258 x 180 x 19. Weight in Grams: 618. . 2014. UK ed. Hardcover. . . . . Books ship from the US and Ireland.

Gebunden. Zustand: New. KlappentextrnrnThis book is devoted to applications of fractional calculus in classical fields of mathematics like analysis, dynamics, partial differential equations and optimal control. The first chapter deals with the notion of local fractiona.

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Buch. Zustand: Neu. Neuware - This book is devoted to applications of fractional calculus in classical fields of mathematics like analysis, dynamics, partial differential equations and optimal control. The first chapter deals with the notion of local fractional derivatives and its applications to the study of regularity and geometry of curves. The second chapter develops the notion of fractional embedding and fractional assymetric calculus of variations in order to find fractional Lagrangian variational structures for classical dissipative partial differential equations. In continuation of this chapter, a fractional analogue of the classical Pontryagin maximum principle is proved for discrete and continuous fractional optimal control problems. The fourth chapter gives a first mathematical model that allows a rigorous connection to be made between the dynamics of chaotic Hamiltonian systems and fractional dynamics, mixing the previous approaches of G Zaslavsky and R Hilfer. Finally, numerical methods to deal with fractional optimal control problems are discussed and implemented. All the chapters are self-contained and complete proofs are given.…

Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book discussed a sex-structured fractional-order model to examine syphilis transmission across multiple disease stages, incorporating memory effects using the Caputo-Fabrizio derivative. Calibrated with real data, the model accurately captures observed trends and shows that memory effects prolong infection persistence.Results revealed gender differences in infection patterns, with transmission and treatment rates identified as key drivers of disease dynamics. It was concluded that effective control requires early diagnosis, prompt treatment, and targeted, sex-specific interventions, demonstrating the value of fractional-order modeling in understanding complex epidemiological systems.…