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Boundary Value Problems

Essential Fractional Dynamic Equations on Time Scales

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Gebonden, blz. | Engels
Springer Nature Switzerland | e druk, 2023
ISBN13: 9783031381959
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Springer Nature Switzerland e druk, 2023 9783031381959
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Samenvatting

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.

Specificaties

ISBN13:9783031381959
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer Nature Switzerland

Inhoudsopgave

<p>The Laplace Transform on Time Scales.- Generalized Convolutions on Time Scales.- Elements of Fractional Dynamic Calculus on Time Scales.- Boundary Value Problems for Riemann-Liouville Fractional Dynamic Equations. </p>

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        Boundary Value Problems