03263nam 22006255 450 991101865950332120250728130309.0978303194256310.1007/978-3-031-94256-3(CKB)39766941200041(DE-He213)978-3-031-94256-3(EXLCZ)993976694120004120250728d2025 u| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierBoundary Value Problems Advanced Fractional Dynamic Equations on Time Scales /by Svetlin Georgiev2nd ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (X, 184 p. 1 illus.) Synthesis Lectures on Mathematics & Statistics,1938-17519783031942556 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.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.Synthesis Lectures on Mathematics & Statistics,1938-1751MathematicsMathematical analysisDifferential equationsDynamicsFunctions, SpecialMathematicsAnalysisDifferential EquationsDynamical SystemsSpecial FunctionsApplications of MathematicsMathematics.Mathematical analysis.Differential equations.Dynamics.Functions, Special.Mathematics.Analysis.Differential Equations.Dynamical Systems.Special Functions.Applications of Mathematics.510Georgiev Svetlinauthttp://id.loc.gov/vocabulary/relators/aut1218802BOOK9911018659503321Boundary Value Problems4414892UNINA