Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions

Details Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions

2011-03-07

arxiv.org/abs/1103.1233v1

Nonlinear Sciences

Chaotic Dynamics

accepted IJBC, 5 pages, 1 figure

Scientific paper

In this letter we are concerned with the possibility to approach the existence of solutions to a class of discontinuous dynamical systems of fractional order. In this purpose, the underlying initial value problem is transformed into a fractional set-valued problem. Next, the Cellina's Theorem is applied leading to a single-valued continuous initial value problem of fractional order. The existence of solutions is assured by a P\'{e}ano like theorem for ordinary differential equations of fractional order.

Affiliated with

Also associated with

No associations

Rating

Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions 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 Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approach of a class of discontinuous dynamical systems of fractional order: existence of the solutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-606956