Solvability of boundary-value problems for nonlinear fractional differential equations

• Date: 2010
• Main Authors: Guo, Y., Го, Ю.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2949
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider the existence of nontrivial solutions of the boundary-value problems for nonlinear fractional differential equations $$D^{α}u(t)+λ[f(t,u(t))+q(t)]=0,\; 0 < t < 1, \; u(0) = 0,\; u(1) = βu(η),$$ where $λ > 0$ is a parameter, $1 < α ≤ 2,\; η ∈ (0, 1),\; β ∈ \mat...