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Cover image for book Boundary Value Problems

Boundary Value Problems

Advanced Fractional Dynamic Equations on Time Scales
By:Svetlin Georgiev
Publisher:Springer Nature
Print ISBN:9783031942556
eText ISBN:9783031942563
Edition:2
Copyright:2025
Format:Reflowable

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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.