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

A. V. Glushak

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 13-24.

Résumé

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 $A$.

Détail

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

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