Existence of a solution for the fractional forced pendulum

• Autorzy: Torres C.
• Języki publikacji: EN

Abstrakty

EN

In this work we study the fractional forced pendulum equation with combined fractional derivatives - _tD^α_{T 0}D^α_t u( t ) + g ( u ( t )) = f ( t ), t ∈ ( 0, T ) ( 0. 1 ) u ( 0 ) = u ( T ) = 0 where ½ < α < 1, g ∈ C ( R, R ), bounded f ∈ C [ 0, T ]. Using minimization techniques form variational calculus we show that ( 0. 1 ) has a nontrivial solution.

Słowa kluczowe

EN

fractional calculus; fractional boundary value problem; mountain pass theorem; fractional space

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 1
• Strony: 125--142
• Opis fizyczny: Bibliogr. 41 poz.

Twórcy

autor

Torres C.

• Departamento de Ingeniería Matemática, Centro de Modelamiento Matemático Universidad de Chile, Santiago, Chile

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