Solvability of boundary-value problems for nonlinear fractional differential equations

• Published in: Український математичний журнал
• Date: 2010
• Main Author: Guo, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166286
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Solvability of boundary-value problems for nonlinear fractional differential equations / Y. Guo // Український математичний журнал. — 2010. — Т. 62, № 9. — С. 1211–1219. — Бібліогр.: 13 назв. — англ.

We consider the existence of nontrivial solutions of the boundary-value problems for nonlinear fractional differential equations Dαu(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∈R=(−∞,+∞), βη α−1 ≠ 1, Dα is a Riem...