| Volume 14, Number 6, 2024, Pages - DOI：10.11948/JAAC-2024-0068 |
| Boundary value problem with impulsive effects and Riemann-Liouville tempered fractional derivatives |
| Cesar Enrique Torres Ledesma,Hernán A. Cuti Gutierrez,Nemat Nyamoradi |
| Keywords:Riemann-Liouville and Caputo tempered fractional derivatives, impulsive effects, tempered fractional space of Sobolev type, variational methods |
| Abstract: |
| 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. |
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