Fractional Derivative as Fractional Power of Derivative

Details Fractional Derivative as Fractional Power of Derivative Fractional Derivative as Fractional Power of Derivative

2007-11-16

arxiv.org/abs/0711.2567v1

International Journal of Mathematics 18 (2007) 281-299

Nonlinear Sciences

Chaotic Dynamics

20 pages, LaTeX

Scientific paper

Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of self-adjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator. Fractional generalization of concept of stability is considered.

Affiliated with

Also associated with

No associations

Rating

Fractional Derivative as Fractional Power of Derivative does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Fractional Derivative as Fractional Power of Derivative, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Derivative as Fractional Power of Derivative will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3512