Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales
Springer International Publishing (Verlag)
978-3-319-73953-3 (ISBN)
Svetlin Georgiev is in the Department of Differential Equations of the Faculty of Mathematics and Informatics at Sofia University, Bulgaria.
1. Elements of the Time Scale Calculus.- 2. The Laplace Transform on Time Scales.- 3. The Convolution on Time Scales.- 4. The Riemann-Liouville Fractional D-Integral and the Riemann-Liouville Fractional D-Derivative on Time Scales.- 5. Cauchy Type Problem with the Riemann-Liouville Fractional D-Derivative.- 6. Riemann-Liouville Fractional Dynamic Equations with Constant Coefficients.- 7. The Caputo Fractional D-Derivative on Time Scales.- 8. Cauchy Type Problem with the Caputo Fractional D-Derivative.- 9. Caputo Fractional Dynamic Equations with Constant Coefficients.- Appendix: The Gamma Function.- Appendix: The Gamma Function.- Index.
"The book is self-contained and understandable to readers with a standard knowledge of basic courses in calculus and linear algebra. Also, many supporting exercises illustrate the discussed theory. On this account, this book provides a good study text in a topics course on fractional dynamic equations on time scales at the advanced undergraduate level and beginning graduate level." (Jan Cermák, zbMath 1410.34001, 2019)
“The book is self-contained and understandable to readers with a standard knowledge of basic courses in calculus and linear algebra. Also, many supporting exercises illustrate the discussed theory. On this account, this book provides a good study text in a topics course on fractional dynamic equations on time scales at the advanced undergraduate level and beginning graduate level.” (Jan Čermák, zbMath 1410.34001, 2019)
Erscheinungsdatum | 06.05.2018 |
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Zusatzinfo | VIII, 360 p. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 713 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Naturwissenschaften ► Physik / Astronomie | |
Schlagworte | Caputo Fractional Dynamic Equations • Cauchy Type Problem • Convolution on Time Scales • Fractional Calculus • fractional differential equations • Riemann-Liouville Fractional Dynamic Equations • Svetlin Georgiev • The Laplace Transform • Time-Scale Calculus |
ISBN-10 | 3-319-73953-0 / 3319739530 |
ISBN-13 | 978-3-319-73953-3 / 9783319739533 |
Zustand | Neuware |
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