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https://open.uns.ac.rs/handle/123456789/1252
Title: | Non-linear boundary value problems involving Caputo derivatives of complex fractional order | Authors: | Atanacković-Jeličić, Jelena Janev M. Pilipović, Dragana |
Issue Date: | 1-Oct-2018 | Journal: | Applied Mathematics and Computation | Abstract: | © 2018 Elsevier Inc. We study approximate solutions of CD tβ y(t)=f(t,y(t)), separately, for β ∈ (0, 1) and β ∈ (1, 2) with different boundary data, where CD tβ is the Caputo fractional derivative of complex-order. For this purpose we use the expansion formula for such fractional derivatives and prove the existence and the uniqueness of approximate solutions under certain conditions and their convergence to the original solutions. | URI: | https://open.uns.ac.rs/handle/123456789/1252 | ISSN: | 00963003 | DOI: | 10.1016/j.amc.2018.04.026 |
Appears in Collections: | FTN Publikacije/Publications |
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