This article is cited in 6 papers

Correctness of Cauchy-type problems for abstract differential equations with fractional derivatives

A. V. Glushak

Chair of Mathematical Analysis, Belgorod State University, Belgorod, Russia

Abstract: We prove the uniform correctness of a Cauchy-type problem with two fractional derivatives and a bounded operator $A$. We propose a criterion for the uniform correctness of unbounded operator $A$.

Keywords: equations of fractional order, uniform correctness of Cauchy-type problem, resolving operator.

UDC: 517.983

Received: 24.10.2006
Revised: 19.12.2008

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2009, 53:9, 10–19

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