Fractional variational problems depending on indefinite integrals and with delay

Abstract

The aim of this paper is to exhibit a necessary and sufficient condition of optimality for functionals depending on fractional integrals and derivatives, on indefinite integrals and on presence of time delay. We exemplify with one example, where we find analytically the minimizer.

This is a preprint of a paper whose final and definite form will be published in Bull. Malays. Math. Sci. Soc

References in corpus (5)

• Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
• Calculus of variations with fractional derivatives and fractional integrals
• Fractional Hamilton formalism within Caputo's derivative
• Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
• The generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative