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Boundary Value Problems

Advanced Fractional Dynamic Equations on Time Scales

Svetlin Georgiev

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Springer Nature Switzerland img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

This book explores 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. The author provides an introduction to each fractional dynamic equation before delving into the problems. 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.

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Schlagwörter

Fractional Dynamic Calculus, Arbitrary Time Scales, Impulsive Riemann-Liouville Fractional Dynamic Equations, Laplace Transform, Fractional Dynamic Equations, Impulsive Caputo Fractional Dynamic Equations, Bilateral Laplace Transform, Caputo Fractional Dynamic Equations