A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String

Details A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String

2010-01-15

arxiv.org/abs/1001.2722v1

J. Math. Phys. 51 (2010), no. 3, 033503, 12pp

Mathematics

Optimization and Control

Accepted for publication in the Journal of Mathematical Physics (14/January/2010)

Scientific paper

10.1063/1.3319559

We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. Main results provide fractional versions of the theorems of Green and Gauss, fractional Euler-Lagrange equations, and fractional natural boundary conditions. As an application we discuss the fractional equation of motion of a vibrating string.

Affiliated with

Also associated with

No associations

Rating

A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String 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 A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-358031