Fractional Tempered Variational Calculus

Torres Ledesma C.E.; Frederico G.S.F.; Montalvo Bonilla M.C.; Ávalos Rodriguez J.P. · Mathematical Methods in the Applied Sciences (2025) · DOI: 10.1002/mma.11214

Resumen

In this paper, we derive sufficient conditions ensuring the existence of a weak solution (Formula presented.) for a tempered fractional Euler-Lagrange equations. Furthermore, we study a fractional tempered version of Noether theorem, and we provide a very explicit expression of a constant of motion in terms of symmetry group and Lagrangian for fractional problems of calculus of variations. Finally, we study a mountain pass type solution of the cited problem.

Instituciones: Universidad Nacional de Trujillo