Calculus of variations with fractional derivatives and fractional integrals

Article ID	Journal	Published Year	Pages	File Type
1709902	Applied Mathematics Letters	2009	5 Pages	PDF

Abstract

We prove the Euler–Lagrange fractional equations and the sufficient optimality conditions for problems of the calculus of variations with functionals containing both fractional derivatives and fractional integrals in the sense of Riemann–Liouville.

Keywords

Riemann?Liouville fractional integral Riemann?Liouville fractional derivative Euler?Lagrange equation