Fractional Calculus for Scientists and Engineers

• Main Author: Ortigueira, Manuel Duarte (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2011.
• Series: Lecture Notes in Electrical Engineering, 84
• Subjects: Engineering.; Computer science > Mathematics.; Applied mathematics.; Engineering mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Signal, Image and Speech Processing.; Mathematics of Computing.

In recent years fractional calculus has been rediscovered by scientists and engineers and applied in an increasing number of fields, such as electromagnetism, control engineering, and signal processing. The increase in the number of physical and engineering processes that are best described by fract...

Table of Contents:

• 1. Fractional Derivative
• 2. Integral representations
• 3. Fractional Linear Systems
• 4. Two sided fractional derivatives
• 5. The quantum fractional derivative and the scale invariant linear systems
• 6. Where do we go?