Boundary Value Problems
Essential Fractional Dynamic Equations on Time Scales
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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.
In addition, this book:
- Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines
- Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales
- Provides an introduction to boundary value problems for fractional dynamic equations on arbitrary time scales
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.
Explains the topic for a wide audience including physicists, engineers, biologists, and students of various disciplines Presents a solution technique applicable to other problems for fractional dynamic equations on arbitrary time scales Provides an introduction to boundary value problems for fractional dynamic equations on arbitrary time scales
Autor*in
Svetlin Georgiev
Themen in »Boundary Value Problems«
Fractional Cynamic Calculus Laplace Transform Fractional Dynamic Equations Bilateral Laplace Transform Riemann-Liouville Fractional Dynamic Equations Arbitrary Time Scales