Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales (eBook)

Svetlin G. Georgiev (Autor)

eBook Download: PDF

2018
360 Seiten
Springer International Publishing (Verlag)
978-3-319-73954-0 (ISBN)

Infos

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. 

Autor

Svetlin Georgiev is in the Department of Differential Equations of the Faculty of Mathematics and Informatics at Sofia University, Bulgaria. 

Produkt-Details

• Erscheint lt. Verlag: 12.4.2018
• Zusatzinfo: VIII, 360 p.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: 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: 3-319-73954-9 / 3319739549
• ISBN-13: 978-3-319-73954-0 / 9783319739540