Boundary value problem with tempered fractional derivatives and oscillating term

Torres Ledesma C.E.; Cuti H.; Ávalos Rodríguez J.; Montalvo Bonilla M. · Journal of Pseudo-Differential Operators and Applications (2023) · DOI: 10.1007/s11868-023-00558-y

Resumen

In this article, a class of boundary value problem with tempered fractional derivatives is studied. By using a variational principle due to Ricceri (in J Comput Appl Math 113:401–410, 2000), the existence of infinitely many weak solutions for these problems is established by requiring that the nonlinear term f has a suitable oscillating behavior either at the origin or at infinity.

Instituciones: Universidad Nacional de Trujillo