Fractional Calculus for Scientists and Engineers

• 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?

From the reviews: "Fractional calculus--the theory of differential and integral operators of noninteger order--is an area of mathematics that has been neglected for a very long period of time. ... Ortigueira provides a look at this theory from the point of view of someone working in signal processing. ... it may be a book suitable for experts in signal processing who want to learn how they can use fractional calculus for the modeling of their circuits and systems ... ." (Kai Diethelm, ACM Computing Reviews, October, 2011)