We investigate a fractional Dirichlet problem involving Jumarie’s derivative. Using some variational methods a theorem on the
existence and uniqueness of a solution to such problem is proved. In the proof of the main result we use a fractional counterpart of
the du Bois-Reymond fundamental lemma.The project was financially supported by the Faculty of
Mathematics and Computer Science, University of Lodz,
under Grant no. B1411600000451.02 for young researchers
and participants of a grad school
