Non-linear boundary value problems involving Caputo derivatives of complex fractional order

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Назив:	Non-linear boundary value problems involving Caputo derivatives of complex fractional order
Аутори:	Atanacković-Jeličić, Jelena Janev M. Pilipović, Dragana
Датум издавања:	1-окт-2018
Часопис:	Applied Mathematics and Computation
Сажетак:	© 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
Налази се у колекцијама:	FTN Publikacije/Publications