Ground state solution for differential equations with left and right fractional derivatives
Author
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Torres, César
Admission date
dc.date.accessioned
2016-03-10T13:48:20Z
Available date
dc.date.available
2016-03-10T13:48:20Z
Publication date
dc.date.issued
2015
Cita de ítem
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Math. Meth. Appl. Sci. 2015, 38 5063–5073
en_US
Identifier
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https://repositorio.uchile.cl/handle/2250/137013
General note
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Artículo de publicación ISI
en_US
Abstract
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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