Solvability of boundary-value problems for nonlinear fractional differential equations

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...

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Published in:Український математичний журнал
Date:2010
Main Author: Guo, Y.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/166286
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine