In this work we prove the existence of solutions for the fractional differential equation
where . Assuming L is coercive at infinity we show that this equation has at least one nontrivial solution.
Submitted June 10, 2013. Published November 26, 2013.
Math Subject Classifications: 26A33, 34C37, 35A15, 35B38.
Key Words: Liouville-Weyl fractional derivative; fractional Hamiltonian systems; critical point; variational methods.
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| César Torres |
Departamento de Ingeniería Matemática
and Centro de Modelamiento Matemático
UMR2071 CNRS-UChile, Universidad de Chile
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