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)