C

Derivatives and integrals of fractional order have recently gained more attention due to their successful application to non local phenomena. Moti-vated by numerous applications in physics and other scientific areas, frac-tional calculus of variations finds itself in fast development. In this work we consider variational problems of the following kind: find y ∈ αa E β b, so that it maximizes or minimizes the functional J(y) = ∫ b