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Boundary Value Problems

Essential 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 Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an introductory overview of fractional dynamic calculus on time scales. The book also introduces the Laplace transform on arbitrary time scales, including the bilateral Laplace transform, the Laplace transform of power series, and a deduction of an inverse formula. The author then discusses the generalized convolutions of functions on arbitrary time scales and the shifting problem for existence of solutions. The book moves on to cover boundary value problems and initial boundary value problems for some classes Riemann-Liouville fractional dynamic equations.

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Schlagwörter

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