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Multiple solutions for a class of superquadratic fractional Hamiltonian systems
- Source :
- Universal Journal of Mathematics and Applications, Vol 1, Iss 3, Pp 186-195 (2018)
- Publication Year :
- 2018
- Publisher :
- Emrah Evren KARA, 2018.
-
Abstract
- In this paper, we are concerned with the existence of solutions for a class of fractional Hamiltonian systems \[\left\{ \begin{array}{l} _{t}D_{\infty}^{\alpha}(_{-\infty}D_{t}^{\alpha}u)(t)+L(t)u(t)=\nabla W(t,u(t)),\ t\in\mathbb{R}\\ u\in H^{\alpha}(\mathbb{R},\ \mathbb{R}^{N}), \end{array}\right. \] where $_{t}D_{\infty}^{\alpha}$ and $_{-\infty}D^{\alpha}_{t}$ are the Liouville-Weyl fractional derivatives of order $\frac{1}{2}
Details
- Language :
- English
- ISSN :
- 26199653
- Volume :
- 1
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Universal Journal of Mathematics and Applications
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.07799e065e5445e28c83ca1686546863
- Document Type :
- article
- Full Text :
- https://doi.org/10.32323/ujma.388067