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https://open.uns.ac.rs/handle/123456789/15536
Title: | Semilinear ordinary differential equation coupled with distributed order fractional differential equation | Authors: | Atanackovic T. Oparnica, Ljubica Pilipović, Stevan |
Issue Date: | 1-Jun-2010 | Journal: | Nonlinear Analysis, Theory, Methods and Applications | Abstract: | The system D2 y (t) + z (t) = f (t, y), ∫02 φ{symbol}1 (γ) Dγ y (t) d γ = ∫02 φ{symbol}2 (γ) Dγ z (t) d γ, t > 0, where Dγ, γ ∈ [0, 2] are operators of fractional differentiation, is investigated and the existence of a mild and classical solution is proven. Also, a necessary and sufficient condition for the existence and uniqueness of a solution to a general linear fractional differential equation ∑i = 1k ai Dγi z = g, γi ∈ R, i = 1, ..., k in S+′ is given. © 2010 Elsevier Ltd. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/15536 | ISSN: | 0362546X | DOI: | 10.1016/j.na.2010.01.042 |
Appears in Collections: | PEF Publikacije/Publications |
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