A BOUNDARY VALUE PROBLEM WITH IMPULSIVE EFFECTS AND RIEMANN-LIOUVILLE TEMPERED FRACTIONAL DERIVATIVES

Cuti Gutierrez H.A.; Nyamoradi N.; Torres Ledesma C.E. · Journal of Applied Analysis and Computation (2024) · DOI: 10.11948/20240068

Resumen

In this paper, we study a fractional impulsive differential equation with mixed tempered fractional derivatives. We justify some fundamental properties in the variational structure to fractional impulsive differential equations with the tempered fractional derivative operator. Finally, we study the existence of weak solutions with critical point theory and variational methods for the proposed problem. To prove the effectiveness of our main result, we investigate an interesting example.

Instituciones: Universidad Nacional de Trujillo