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Boundary Value Problems: Essential Fractional Dynamic Equations on Time Scales
Hardcover
Series: Synthesis Lectures on Mathematics & Statistics
Technology & EngineeringGeneral Mathematics
ISBN13: 9783031381959
Publisher: Springer
Published: Aug 17 2023
Pages: 163
Weight: 0.85
Height: 0.60 Width: 6.50 Depth: 9.20
Language: English
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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