Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales
Produktnummer:
18ec4b4c560fae42ffbd7e946a772d02ff
| Autor: | Georgiev, Svetlin G. |
|---|---|
| Themengebiete: | Caputo Fractional Dynamic Equations Cauchy Type Problem Convolution on Time Scales Fractional differential equations Riemann-Liouville Fractional Dynamic Equations Svetlin Georgiev The Laplace Transform Time-Scale Calculus fractional calculus |
| Veröffentlichungsdatum: | 01.02.2019 |
| EAN: | 9783030088927 |
| Sprache: | Englisch |
| Seitenzahl: | 360 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales"
Pedagogically organized, this monograph introduces fractional calculus and fractional dynamic equations on time scales in relation to mathematical physics applications and problems. Beginning with the definitions of forward and backward jump operators, the book builds from Stefan Hilger’s basic theories on time scales and examines recent developments within the field of fractional calculus and fractional equations. Useful tools are provided for solving differential and integral equations as well as various problems involving special functions of mathematical physics and their extensions and generalizations in one and more variables. Much discussion is devoted to Riemann-Liouville fractional dynamic equations and Caputo fractional dynamic equations. Intended for use in the field and designed for students without an extensive mathematical background, this book is suitable for graduate courses and researchers looking for an introduction to fractional dynamic calculusand equations on time scales.
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