V. E. Fedorov, M. Kostić, “On a class of abstract degenerate multi-term fractional differential equations in locally convex spaces”, Eurasian Math. J., 2018, Volume 9, Number 3,Pages <nobr>33

This article is cited in 12 papers

On a class of abstract degenerate multi-term fractional differential equations in locally convex spaces

V. E. Fedorov^ab, M. Kostić^c

^a Functional Materials Laboratory, South Ural State University, 76 Lenin Av., 454080 Chelyabinsk, Russia
^b Department of Mathematical Analysis, Chelyabinsk State University, 129 Kashirin Brothers St., 454001 Chelyabinsk, Russia
^c Faculty of Technical Sciences, University of Novi Sad, 6 Trg D.Obradovića, 21125 Novi Sad, Serbia

Abstract: In this paper, we consider regularized solutions for a class of abstract degenerate multi-term fractional differential equations with Caputo derivatives. Our results seem to be new even for non-degenerate differential equations under consideration.

Keywords and phrases: abstract time-fractional differential equations, degenerate differential equations, fractional calculus, ultra-logarithmic regions, ultradistribution semigroups.

MSC: 34K30, 34A08, 35R11

Received: 11.05.2016

Language: English

DOI: 10.32523/2077-9879-2018-9-3-33-57