Footnote:
Mode of access: Internet via World Wide Web
Description:
Frontmatter -- Acknowledgement -- Preface -- Contents -- 1. Introduction to signals and systems -- 2. Continuous-time linear systems and the Laplace transform -- 3. Fractional commensurate linear systems: time responses -- 4. The fractional commensurate linear systems. Frequency responses -- 5. State-space representation -- 6. Feedback representation -- 7. On fractional derivatives -- 8. Discrete-time linear systems. Difference equations -- 9. Z transform. Transient responses -- 10. Discrete-time derivatives and transforms -- 11. Fractional stochastic processes and two-sided derivatives -- 12. Fractional delay discrete-time linear systems -- 13. Fractional derivatives with variable orders -- A. On distributions -- B. The Gamma function and binomial coefficients -- C. The continuous-Time Fourier Transform -- D. The discrete-time Fourier Transform -- E. Partial fraction decomposition without derivations -- F. The Mittag-Leffler function -- Bibliography -- Further Reading -- Index
The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of stochastic processes. It is an essential reference for researchers in mathematics, physics, and engineering