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Boundary Value Problems : Advanced Fractional Dynamic Equations on Time Scales / / by Svetlin Georgiev



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Autore: Georgiev Svetlin Visualizza persona
Titolo: Boundary Value Problems : Advanced Fractional Dynamic Equations on Time Scales / / by Svetlin Georgiev Visualizza cluster
Pubblicazione: Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025
Edizione: 2nd ed. 2025.
Descrizione fisica: 1 online resource (X, 184 p. 1 illus.)
Disciplina: 510
Soggetto topico: Mathematics
Mathematical analysis
Differential equations
Dynamics
Functions, Special
Analysis
Differential Equations
Dynamical Systems
Special Functions
Applications of Mathematics
Nota di contenuto: Elements of Time Scale Calculus and Fractional Time Scale Calculus -- Impulsive Riemann-Liouville Fractional Dynamic Equations -- Boundary Value Problems for Caputo Fractional Dynamic Equations -- Impulsive Caputo Fractional Dynamic Equations.
Sommario/riassunto: This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations. In a new chapter, the author introduces time scale calculus and fractional time scale calculus. The book also covers initial value problems, boundary value problems, initial boundary value problems for each type of equation. The author provides integral representations of the solutions and proves the existence and uniqueness of the solutions. This second edition includes new and updated examples and problems. In addition, this book: Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales Demonstrates the concepts to readers using new and updated examples and practical problems.
Titolo autorizzato: Boundary Value Problems  Visualizza cluster
ISBN: 9783031942563
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9911018659503321
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Serie: Synthesis Lectures on Mathematics & Statistics, . 1938-1751