Artículos de revistas
Ground state solution for differential equations with left and right fractional derivatives
Fecha
2015Registro en:
Math. Meth. Appl. Sci. 2015, 38 5063–5073
Autor
Torres, César
Institución
Resumen
In this work, we study the existence of positive solutions for a class of fractional differential equation given by
D-t(infinity-infinity)alpha D(t)(alpha)u(t) + u(t) = f(t,u(t)),
u is an element of H-alpha (R),
where alpha is an element of(1/2,1),t is an element of R,u is an element of R,f is an element of C(R, R). Using the mountain pass theorem and comparison argument, we prove that ( 1) at least has one nontrivial solution