21 research outputs found
Variational Problems Involving a Caputo-Type Fractional Derivative
We study calculus of variations problems, where the Lagrange function depends on the
Caputo-Katugampola fractional derivative. This type of fractional operator is a generalization
of the Caputo and the Caputo–Hadamard fractional derivatives, with dependence on a real
parameter ρ. We present sufficient and necessary conditions of first and second order to
determine the extremizers of a functional. The cases of integral and holomonic constraints are also considered