ψ-Tempered fractional differential equations with impulses

Nyamoradi N.; Ledesma C.E.T. · Rendiconti del Circolo Matematico di Palermo (2025) · DOI: 10.1007/s12215-024-01163-8

Resumen

In this paper, we study variational structure for the ψ-Tempered fractional derivatives operator. We investigate some properties of ψ-Tempered fractional integral and derivative which are used of variational structure. Also, the existence of solutions for a problem with ψ-Tempered fractional derivative is proved by applying variational methods and critical point theory. Finally, an example is provided. © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2024.

Instituciones: Universidad Nacional de Trujillo