Existence of Solution for a Dirichlet Problem with Tempered Fractional Derivatives

Ledesma C.E.T.; Nyamoradi N.; Diestra O.P. · Progress in Fractional Differentiation and Applications (2024) · DOI: 10.18576/pfda/100411

Resumen

In this we deal with the existence of weak solution for a Dirichlet problem with tempered fractional derivatives. To this end, we use variational methods and critical point theory. Our results are new in the literature and as a consequence of our result we get an existence result to the Dirichlet problem with Riemann-Liouville fractional derivatives. © (2024), (Natural Sciences Publishing). All rights reserved.

Instituciones: Universidad Nacional de Trujillo; Universidad Nacional Agraria La Molina