$Non-uniqueness of the solution to the problem Cauchy for one equation of high order with fractional Caputo derivative$

Non-uniqueness of the solution to the problem Cauchy for one equation of high order with fractional Caputo derivative

In the article, by the method of A.N. Tikhonov, a nontrivial solution of the homogeneous Cauchy problem for a homogeneous high-order equation with the Caputo derivative of order 1/2 is constructed.

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Bibliographische Detailangaben
Veröffentlicht in:	Chaos, solitons and fractals solitons and fractals, 2022-04, Vol.157, p.111977, Article 111977
1. Verfasser:	Irgashev, B.Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Cauchy problem Convergence Fractional Caputo derivative Higher order equation Non-uniqueness Series
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In the article, by the method of A.N. Tikhonov, a nontrivial solution of the homogeneous Cauchy problem for a homogeneous high-order equation with the Caputo derivative of order 1/2 is constructed.
ISSN:	0960-0779 1873-2887
DOI:	10.1016/j.chaos.2022.111977